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Finding the Third Proportional to 2,565.42 and 4,732.17

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Solution

The third proportional to 2,565.42 and 4,732.17 is: 8,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.42 : 4,732.17 = 4,732.17 : x
  2. Step 2: Convert to fraction form
    2,565.42/4,732.17 = 4,732.17/x
  3. Step 3: Cross multiply
    2,565.42x = 4,732.17 × 4,732.17
  4. Step 4: Simplify right side
    2,565.42x = 22,393,450.65
  5. Step 5: Solve for x
    x = 22,393,450.65/2,565.42
  6. Step 6: Final answer
    x = 8,728.95

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.