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Finding the Third Proportional to 10,657.13 and 15,985.97

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Solution

The third proportional to 10,657.13 and 15,985.97 is: 23,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.13 : 15,985.97 = 15,985.97 : x
  2. Step 2: Convert to fraction form
    10,657.13/15,985.97 = 15,985.97/x
  3. Step 3: Cross multiply
    10,657.13x = 15,985.97 × 15,985.97
  4. Step 4: Simplify right side
    10,657.13x = 255,551,196.88
  5. Step 5: Solve for x
    x = 255,551,196.88/10,657.13
  6. Step 6: Final answer
    x = 23,979.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.