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Finding the Third Proportional to 23,086 and 49,863.25

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Solution

The third proportional to 23,086 and 49,863.25 is: 107,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086 : 49,863.25 = 49,863.25 : x
  2. Step 2: Convert to fraction form
    23,086/49,863.25 = 49,863.25/x
  3. Step 3: Cross multiply
    23,086x = 49,863.25 × 49,863.25
  4. Step 4: Simplify right side
    23,086x = 2,486,343,700.56
  5. Step 5: Solve for x
    x = 2,486,343,700.56/23,086
  6. Step 6: Final answer
    x = 107,699.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.