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Finding the Third Proportional to 56,471 and 82,587

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Solution

The third proportional to 56,471 and 82,587 is: 120,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471 : 82,587 = 82,587 : x
  2. Step 2: Convert to fraction form
    56,471/82,587 = 82,587/x
  3. Step 3: Cross multiply
    56,471x = 82,587 × 82,587
  4. Step 4: Simplify right side
    56,471x = 6,820,612,569
  5. Step 5: Solve for x
    x = 6,820,612,569/56,471
  6. Step 6: Final answer
    x = 120,780.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.