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Finding the Third Proportional to 10,005.75 and 14,622.75

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Solution

The third proportional to 10,005.75 and 14,622.75 is: 21,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 14,622.75 = 14,622.75 : x
  2. Step 2: Convert to fraction form
    10,005.75/14,622.75 = 14,622.75/x
  3. Step 3: Cross multiply
    10,005.75x = 14,622.75 × 14,622.75
  4. Step 4: Simplify right side
    10,005.75x = 213,824,817.56
  5. Step 5: Solve for x
    x = 213,824,817.56/10,005.75
  6. Step 6: Final answer
    x = 21,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.