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Finding the Third Proportional to 9,484.88 and 14,257.69

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Solution

The third proportional to 9,484.88 and 14,257.69 is: 21,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.88 : 14,257.69 = 14,257.69 : x
  2. Step 2: Convert to fraction form
    9,484.88/14,257.69 = 14,257.69/x
  3. Step 3: Cross multiply
    9,484.88x = 14,257.69 × 14,257.69
  4. Step 4: Simplify right side
    9,484.88x = 203,281,652.85
  5. Step 5: Solve for x
    x = 203,281,652.85/9,484.88
  6. Step 6: Final answer
    x = 21,432.19

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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.