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Finding the Third Proportional to 34,407 and 52,902

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Solution

The third proportional to 34,407 and 52,902 is: 81,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407 : 52,902 = 52,902 : x
  2. Step 2: Convert to fraction form
    34,407/52,902 = 52,902/x
  3. Step 3: Cross multiply
    34,407x = 52,902 × 52,902
  4. Step 4: Simplify right side
    34,407x = 2,798,621,604
  5. Step 5: Solve for x
    x = 2,798,621,604/34,407
  6. Step 6: Final answer
    x = 81,338.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.