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Finding the Third Proportional to 15,432.19 and 32,077.69

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Solution

The third proportional to 15,432.19 and 32,077.69 is: 66,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432.19 : 32,077.69 = 32,077.69 : x
  2. Step 2: Convert to fraction form
    15,432.19/32,077.69 = 32,077.69/x
  3. Step 3: Cross multiply
    15,432.19x = 32,077.69 × 32,077.69
  4. Step 4: Simplify right side
    15,432.19x = 1,028,978,035.35
  5. Step 5: Solve for x
    x = 1,028,978,035.35/15,432.19
  6. Step 6: Final answer
    x = 66,677.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.