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Finding the Third Proportional to 9,001.13 and 13,635.84

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Solution

The third proportional to 9,001.13 and 13,635.84 is: 20,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.13 : 13,635.84 = 13,635.84 : x
  2. Step 2: Convert to fraction form
    9,001.13/13,635.84 = 13,635.84/x
  3. Step 3: Cross multiply
    9,001.13x = 13,635.84 × 13,635.84
  4. Step 4: Simplify right side
    9,001.13x = 185,936,234.77
  5. Step 5: Solve for x
    x = 185,936,234.77/9,001.13
  6. Step 6: Final answer
    x = 20,657.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.