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Finding the Third Proportional to 10,185.96 and 15,740.26

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Solution

The third proportional to 10,185.96 and 15,740.26 is: 24,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.96 : 15,740.26 = 15,740.26 : x
  2. Step 2: Convert to fraction form
    10,185.96/15,740.26 = 15,740.26/x
  3. Step 3: Cross multiply
    10,185.96x = 15,740.26 × 15,740.26
  4. Step 4: Simplify right side
    10,185.96x = 247,755,838.97
  5. Step 5: Solve for x
    x = 247,755,838.97/10,185.96
  6. Step 6: Final answer
    x = 24,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.