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Finding the Third Proportional to 7,342.13 and 14,314.88

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Solution

The third proportional to 7,342.13 and 14,314.88 is: 27,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.13 : 14,314.88 = 14,314.88 : x
  2. Step 2: Convert to fraction form
    7,342.13/14,314.88 = 14,314.88/x
  3. Step 3: Cross multiply
    7,342.13x = 14,314.88 × 14,314.88
  4. Step 4: Simplify right side
    7,342.13x = 204,915,646.27
  5. Step 5: Solve for x
    x = 204,915,646.27/7,342.13
  6. Step 6: Final answer
    x = 27,909.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.