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Finding the Third Proportional to 6,154.31 and 9,239.06

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Solution

The third proportional to 6,154.31 and 9,239.06 is: 13,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.31 : 9,239.06 = 9,239.06 : x
  2. Step 2: Convert to fraction form
    6,154.31/9,239.06 = 9,239.06/x
  3. Step 3: Cross multiply
    6,154.31x = 9,239.06 × 9,239.06
  4. Step 4: Simplify right side
    6,154.31x = 85,360,275.88
  5. Step 5: Solve for x
    x = 85,360,275.88/6,154.31
  6. Step 6: Final answer
    x = 13,869.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.