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Finding the Third Proportional to 32,543 and 48,687

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Solution

The third proportional to 32,543 and 48,687 is: 72,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543 : 48,687 = 48,687 : x
  2. Step 2: Convert to fraction form
    32,543/48,687 = 48,687/x
  3. Step 3: Cross multiply
    32,543x = 48,687 × 48,687
  4. Step 4: Simplify right side
    32,543x = 2,370,423,969
  5. Step 5: Solve for x
    x = 2,370,423,969/32,543
  6. Step 6: Final answer
    x = 72,839.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.