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Finding the Third Proportional to 10,999.75 and 14,585.75

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Solution

The third proportional to 10,999.75 and 14,585.75 is: 19,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.75 : 14,585.75 = 14,585.75 : x
  2. Step 2: Convert to fraction form
    10,999.75/14,585.75 = 14,585.75/x
  3. Step 3: Cross multiply
    10,999.75x = 14,585.75 × 14,585.75
  4. Step 4: Simplify right side
    10,999.75x = 212,744,103.06
  5. Step 5: Solve for x
    x = 212,744,103.06/10,999.75
  6. Step 6: Final answer
    x = 19,340.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.