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Finding the Third Proportional to 8,398.69 and 12,337.31

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Solution

The third proportional to 8,398.69 and 12,337.31 is: 18,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.69 : 12,337.31 = 12,337.31 : x
  2. Step 2: Convert to fraction form
    8,398.69/12,337.31 = 12,337.31/x
  3. Step 3: Cross multiply
    8,398.69x = 12,337.31 × 12,337.31
  4. Step 4: Simplify right side
    8,398.69x = 152,209,279.72
  5. Step 5: Solve for x
    x = 152,209,279.72/8,398.69
  6. Step 6: Final answer
    x = 18,122.98

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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.