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Finding the Third Proportional to 24,296.20 and 57,203.72

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Solution

The third proportional to 24,296.20 and 57,203.72 is: 134,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.20 : 57,203.72 = 57,203.72 : x
  2. Step 2: Convert to fraction form
    24,296.20/57,203.72 = 57,203.72/x
  3. Step 3: Cross multiply
    24,296.20x = 57,203.72 × 57,203.72
  4. Step 4: Simplify right side
    24,296.20x = 3,272,265,438.83
  5. Step 5: Solve for x
    x = 3,272,265,438.83/24,296.20
  6. Step 6: Final answer
    x = 134,682.17

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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.