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Finding the Third Proportional to 9,387.14 and 14,619.23

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Solution

The third proportional to 9,387.14 and 14,619.23 is: 22,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.14 : 14,619.23 = 14,619.23 : x
  2. Step 2: Convert to fraction form
    9,387.14/14,619.23 = 14,619.23/x
  3. Step 3: Cross multiply
    9,387.14x = 14,619.23 × 14,619.23
  4. Step 4: Simplify right side
    9,387.14x = 213,722,013.71
  5. Step 5: Solve for x
    x = 213,722,013.71/9,387.14
  6. Step 6: Final answer
    x = 22,767.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.