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Finding the Third Proportional to 31,494 and 42,585

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Solution

The third proportional to 31,494 and 42,585 is: 57,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494 : 42,585 = 42,585 : x
  2. Step 2: Convert to fraction form
    31,494/42,585 = 42,585/x
  3. Step 3: Cross multiply
    31,494x = 42,585 × 42,585
  4. Step 4: Simplify right side
    31,494x = 1,813,482,225
  5. Step 5: Solve for x
    x = 1,813,482,225/31,494
  6. Step 6: Final answer
    x = 57,581.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.