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Finding the Third Proportional to 35,272.13 and 75,468.38

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Solution

The third proportional to 35,272.13 and 75,468.38 is: 161,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272.13 : 75,468.38 = 75,468.38 : x
  2. Step 2: Convert to fraction form
    35,272.13/75,468.38 = 75,468.38/x
  3. Step 3: Cross multiply
    35,272.13x = 75,468.38 × 75,468.38
  4. Step 4: Simplify right side
    35,272.13x = 5,695,475,625.14
  5. Step 5: Solve for x
    x = 5,695,475,625.14/35,272.13
  6. Step 6: Final answer
    x = 161,472.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.