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Finding the Third Proportional to 24,574.13 and 57,767.63

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Solution

The third proportional to 24,574.13 and 57,767.63 is: 135,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.13 : 57,767.63 = 57,767.63 : x
  2. Step 2: Convert to fraction form
    24,574.13/57,767.63 = 57,767.63/x
  3. Step 3: Cross multiply
    24,574.13x = 57,767.63 × 57,767.63
  4. Step 4: Simplify right side
    24,574.13x = 3,337,098,498.14
  5. Step 5: Solve for x
    x = 3,337,098,498.14/24,574.13
  6. Step 6: Final answer
    x = 135,797.25

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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.