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Finding the Third Proportional to 9,253.88 and 14,110.88

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Solution

The third proportional to 9,253.88 and 14,110.88 is: 21,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.88 : 14,110.88 = 14,110.88 : x
  2. Step 2: Convert to fraction form
    9,253.88/14,110.88 = 14,110.88/x
  3. Step 3: Cross multiply
    9,253.88x = 14,110.88 × 14,110.88
  4. Step 4: Simplify right side
    9,253.88x = 199,116,793.27
  5. Step 5: Solve for x
    x = 199,116,793.27/9,253.88
  6. Step 6: Final answer
    x = 21,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.