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Finding the Third Proportional to 9,801.75 and 14,793.75

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Solution

The third proportional to 9,801.75 and 14,793.75 is: 22,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.75 : 14,793.75 = 14,793.75 : x
  2. Step 2: Convert to fraction form
    9,801.75/14,793.75 = 14,793.75/x
  3. Step 3: Cross multiply
    9,801.75x = 14,793.75 × 14,793.75
  4. Step 4: Simplify right side
    9,801.75x = 218,855,039.06
  5. Step 5: Solve for x
    x = 218,855,039.06/9,801.75
  6. Step 6: Final answer
    x = 22,328.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.