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Finding the Third Proportional to 7,644.75 and 15,781.13

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Solution

The third proportional to 7,644.75 and 15,781.13 is: 32,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.75 : 15,781.13 = 15,781.13 : x
  2. Step 2: Convert to fraction form
    7,644.75/15,781.13 = 15,781.13/x
  3. Step 3: Cross multiply
    7,644.75x = 15,781.13 × 15,781.13
  4. Step 4: Simplify right side
    7,644.75x = 249,043,906.27
  5. Step 5: Solve for x
    x = 249,043,906.27/7,644.75
  6. Step 6: Final answer
    x = 32,577.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.