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Finding the Third Proportional to 23,117.27 and 49,742.86

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Solution

The third proportional to 23,117.27 and 49,742.86 is: 107,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.27 : 49,742.86 = 49,742.86 : x
  2. Step 2: Convert to fraction form
    23,117.27/49,742.86 = 49,742.86/x
  3. Step 3: Cross multiply
    23,117.27x = 49,742.86 × 49,742.86
  4. Step 4: Simplify right side
    23,117.27x = 2,474,352,058.80
  5. Step 5: Solve for x
    x = 2,474,352,058.80/23,117.27
  6. Step 6: Final answer
    x = 107,034.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.