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Finding the Third Proportional to 24,216.38 and 32,708.25

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Solution

The third proportional to 24,216.38 and 32,708.25 is: 44,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.38 : 32,708.25 = 32,708.25 : x
  2. Step 2: Convert to fraction form
    24,216.38/32,708.25 = 32,708.25/x
  3. Step 3: Cross multiply
    24,216.38x = 32,708.25 × 32,708.25
  4. Step 4: Simplify right side
    24,216.38x = 1,069,829,618.06
  5. Step 5: Solve for x
    x = 1,069,829,618.06/24,216.38
  6. Step 6: Final answer
    x = 44,177.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.