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Finding the Third Proportional to 10,652.13 and 16,539.19

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Solution

The third proportional to 10,652.13 and 16,539.19 is: 25,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.13 : 16,539.19 = 16,539.19 : x
  2. Step 2: Convert to fraction form
    10,652.13/16,539.19 = 16,539.19/x
  3. Step 3: Cross multiply
    10,652.13x = 16,539.19 × 16,539.19
  4. Step 4: Simplify right side
    10,652.13x = 273,544,723.16
  5. Step 5: Solve for x
    x = 273,544,723.16/10,652.13
  6. Step 6: Final answer
    x = 25,679.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.