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Finding the Third Proportional to 15,182.25 and 32,014.88

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Solution

The third proportional to 15,182.25 and 32,014.88 is: 67,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.25 : 32,014.88 = 32,014.88 : x
  2. Step 2: Convert to fraction form
    15,182.25/32,014.88 = 32,014.88/x
  3. Step 3: Cross multiply
    15,182.25x = 32,014.88 × 32,014.88
  4. Step 4: Simplify right side
    15,182.25x = 1,024,952,221.27
  5. Step 5: Solve for x
    x = 1,024,952,221.27/15,182.25
  6. Step 6: Final answer
    x = 67,509.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.