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Finding the Third Proportional to 24,687 and 36,166.50

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Solution

The third proportional to 24,687 and 36,166.50 is: 52,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687 : 36,166.50 = 36,166.50 : x
  2. Step 2: Convert to fraction form
    24,687/36,166.50 = 36,166.50/x
  3. Step 3: Cross multiply
    24,687x = 36,166.50 × 36,166.50
  4. Step 4: Simplify right side
    24,687x = 1,308,015,722.25
  5. Step 5: Solve for x
    x = 1,308,015,722.25/24,687
  6. Step 6: Final answer
    x = 52,983.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.