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Finding the Third Proportional to 28,560 and 61,496

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Solution

The third proportional to 28,560 and 61,496 is: 132,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,560 : 61,496 = 61,496 : x
  2. Step 2: Convert to fraction form
    28,560/61,496 = 61,496/x
  3. Step 3: Cross multiply
    28,560x = 61,496 × 61,496
  4. Step 4: Simplify right side
    28,560x = 3,781,758,016
  5. Step 5: Solve for x
    x = 3,781,758,016/28,560
  6. Step 6: Final answer
    x = 132,414.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.