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Finding the Third Proportional to 9,609.75 and 14,821.88

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Solution

The third proportional to 9,609.75 and 14,821.88 is: 22,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.75 : 14,821.88 = 14,821.88 : x
  2. Step 2: Convert to fraction form
    9,609.75/14,821.88 = 14,821.88/x
  3. Step 3: Cross multiply
    9,609.75x = 14,821.88 × 14,821.88
  4. Step 4: Simplify right side
    9,609.75x = 219,687,978.52
  5. Step 5: Solve for x
    x = 219,687,978.52/9,609.75
  6. Step 6: Final answer
    x = 22,860.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.