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Finding the Third Proportional to 10,542 and 22,717.50

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Solution

The third proportional to 10,542 and 22,717.50 is: 48,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 22,717.50 = 22,717.50 : x
  2. Step 2: Convert to fraction form
    10,542/22,717.50 = 22,717.50/x
  3. Step 3: Cross multiply
    10,542x = 22,717.50 × 22,717.50
  4. Step 4: Simplify right side
    10,542x = 516,084,806.25
  5. Step 5: Solve for x
    x = 516,084,806.25/10,542
  6. Step 6: Final answer
    x = 48,955.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.