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Finding the Third Proportional to 23,977.27 and 38,158.59

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Solution

The third proportional to 23,977.27 and 38,158.59 is: 60,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.27 : 38,158.59 = 38,158.59 : x
  2. Step 2: Convert to fraction form
    23,977.27/38,158.59 = 38,158.59/x
  3. Step 3: Cross multiply
    23,977.27x = 38,158.59 × 38,158.59
  4. Step 4: Simplify right side
    23,977.27x = 1,456,078,276.98
  5. Step 5: Solve for x
    x = 1,456,078,276.98/23,977.27
  6. Step 6: Final answer
    x = 60,727.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.