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Finding the Third Proportional to 10,494.56 and 15,535.97

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Solution

The third proportional to 10,494.56 and 15,535.97 is: 22,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.56 : 15,535.97 = 15,535.97 : x
  2. Step 2: Convert to fraction form
    10,494.56/15,535.97 = 15,535.97/x
  3. Step 3: Cross multiply
    10,494.56x = 15,535.97 × 15,535.97
  4. Step 4: Simplify right side
    10,494.56x = 241,366,325.00
  5. Step 5: Solve for x
    x = 241,366,325.00/10,494.56
  6. Step 6: Final answer
    x = 22,999.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.