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Finding the Third Proportional to 54,384 and 76,585

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Solution

The third proportional to 54,384 and 76,585 is: 107,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,384 : 76,585 = 76,585 : x
  2. Step 2: Convert to fraction form
    54,384/76,585 = 76,585/x
  3. Step 3: Cross multiply
    54,384x = 76,585 × 76,585
  4. Step 4: Simplify right side
    54,384x = 5,865,262,225
  5. Step 5: Solve for x
    x = 5,865,262,225/54,384
  6. Step 6: Final answer
    x = 107,849.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.