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Finding the Third Proportional to 45,957.38 and 63,285.88

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Solution

The third proportional to 45,957.38 and 63,285.88 is: 87,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957.38 : 63,285.88 = 63,285.88 : x
  2. Step 2: Convert to fraction form
    45,957.38/63,285.88 = 63,285.88/x
  3. Step 3: Cross multiply
    45,957.38x = 63,285.88 × 63,285.88
  4. Step 4: Simplify right side
    45,957.38x = 4,005,101,974.52
  5. Step 5: Solve for x
    x = 4,005,101,974.52/45,957.38
  6. Step 6: Final answer
    x = 87,148.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.