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Finding the Third Proportional to 15,072.56 and 32,739.19

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Solution

The third proportional to 15,072.56 and 32,739.19 is: 71,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.56 : 32,739.19 = 32,739.19 : x
  2. Step 2: Convert to fraction form
    15,072.56/32,739.19 = 32,739.19/x
  3. Step 3: Cross multiply
    15,072.56x = 32,739.19 × 32,739.19
  4. Step 4: Simplify right side
    15,072.56x = 1,071,854,398.16
  5. Step 5: Solve for x
    x = 1,071,854,398.16/15,072.56
  6. Step 6: Final answer
    x = 71,112.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.