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Finding the Third Proportional to 24,194.81 and 56,932.03

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Solution

The third proportional to 24,194.81 and 56,932.03 is: 133,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.81 : 56,932.03 = 56,932.03 : x
  2. Step 2: Convert to fraction form
    24,194.81/56,932.03 = 56,932.03/x
  3. Step 3: Cross multiply
    24,194.81x = 56,932.03 × 56,932.03
  4. Step 4: Simplify right side
    24,194.81x = 3,241,256,182.25
  5. Step 5: Solve for x
    x = 3,241,256,182.25/24,194.81
  6. Step 6: Final answer
    x = 133,964.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.