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Finding the Third Proportional to 42,471 and 59,409

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Solution

The third proportional to 42,471 and 59,409 is: 83,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471 : 59,409 = 59,409 : x
  2. Step 2: Convert to fraction form
    42,471/59,409 = 59,409/x
  3. Step 3: Cross multiply
    42,471x = 59,409 × 59,409
  4. Step 4: Simplify right side
    42,471x = 3,529,429,281
  5. Step 5: Solve for x
    x = 3,529,429,281/42,471
  6. Step 6: Final answer
    x = 83,102.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.