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Finding the Third Proportional to 42,434 and 62,409

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Solution

The third proportional to 42,434 and 62,409 is: 91,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434 : 62,409 = 62,409 : x
  2. Step 2: Convert to fraction form
    42,434/62,409 = 62,409/x
  3. Step 3: Cross multiply
    42,434x = 62,409 × 62,409
  4. Step 4: Simplify right side
    42,434x = 3,894,883,281
  5. Step 5: Solve for x
    x = 3,894,883,281/42,434
  6. Step 6: Final answer
    x = 91,786.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.