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Finding the Third Proportional to 24,046.50 and 52,629

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Solution

The third proportional to 24,046.50 and 52,629 is: 115,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.50 : 52,629 = 52,629 : x
  2. Step 2: Convert to fraction form
    24,046.50/52,629 = 52,629/x
  3. Step 3: Cross multiply
    24,046.50x = 52,629 × 52,629
  4. Step 4: Simplify right side
    24,046.50x = 2,769,811,641
  5. Step 5: Solve for x
    x = 2,769,811,641/24,046.50
  6. Step 6: Final answer
    x = 115,185.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.