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Finding the Third Proportional to 6,154.50 and 9,229.88

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Solution

The third proportional to 6,154.50 and 9,229.88 is: 13,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.50 : 9,229.88 = 9,229.88 : x
  2. Step 2: Convert to fraction form
    6,154.50/9,229.88 = 9,229.88/x
  3. Step 3: Cross multiply
    6,154.50x = 9,229.88 × 9,229.88
  4. Step 4: Simplify right side
    6,154.50x = 85,190,592.52
  5. Step 5: Solve for x
    x = 85,190,592.52/6,154.50
  6. Step 6: Final answer
    x = 13,842.00

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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.