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Finding the Third Proportional to 10,539.56 and 15,648.19

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Solution

The third proportional to 10,539.56 and 15,648.19 is: 23,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.56 : 15,648.19 = 15,648.19 : x
  2. Step 2: Convert to fraction form
    10,539.56/15,648.19 = 15,648.19/x
  3. Step 3: Cross multiply
    10,539.56x = 15,648.19 × 15,648.19
  4. Step 4: Simplify right side
    10,539.56x = 244,865,772.04
  5. Step 5: Solve for x
    x = 244,865,772.04/10,539.56
  6. Step 6: Final answer
    x = 23,233.01

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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.