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Finding the Third Proportional to 25,039.13 and 29,170.13

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Solution

The third proportional to 25,039.13 and 29,170.13 is: 33,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,039.13 : 29,170.13 = 29,170.13 : x
  2. Step 2: Convert to fraction form
    25,039.13/29,170.13 = 29,170.13/x
  3. Step 3: Cross multiply
    25,039.13x = 29,170.13 × 29,170.13
  4. Step 4: Simplify right side
    25,039.13x = 850,896,192.52
  5. Step 5: Solve for x
    x = 850,896,192.52/25,039.13
  6. Step 6: Final answer
    x = 33,982.66

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.