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Finding the Third Proportional to 34,418 and 45,359

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Solution

The third proportional to 34,418 and 45,359 is: 59,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 45,359 = 45,359 : x
  2. Step 2: Convert to fraction form
    34,418/45,359 = 45,359/x
  3. Step 3: Cross multiply
    34,418x = 45,359 × 45,359
  4. Step 4: Simplify right side
    34,418x = 2,057,438,881
  5. Step 5: Solve for x
    x = 2,057,438,881/34,418
  6. Step 6: Final answer
    x = 59,777.99

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.