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Finding the Third Proportional to 8,472 and 11,182.50

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Solution

The third proportional to 8,472 and 11,182.50 is: 14,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472 : 11,182.50 = 11,182.50 : x
  2. Step 2: Convert to fraction form
    8,472/11,182.50 = 11,182.50/x
  3. Step 3: Cross multiply
    8,472x = 11,182.50 × 11,182.50
  4. Step 4: Simplify right side
    8,472x = 125,048,306.25
  5. Step 5: Solve for x
    x = 125,048,306.25/8,472
  6. Step 6: Final answer
    x = 14,760.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.