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Finding the Third Proportional to 8,812.50 and 13,674

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Solution

The third proportional to 8,812.50 and 13,674 is: 21,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.50 : 13,674 = 13,674 : x
  2. Step 2: Convert to fraction form
    8,812.50/13,674 = 13,674/x
  3. Step 3: Cross multiply
    8,812.50x = 13,674 × 13,674
  4. Step 4: Simplify right side
    8,812.50x = 186,978,276
  5. Step 5: Solve for x
    x = 186,978,276/8,812.50
  6. Step 6: Final answer
    x = 21,217.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.