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Finding the Third Proportional to 24,634.50 and 52,209.75

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Solution

The third proportional to 24,634.50 and 52,209.75 is: 110,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.50 : 52,209.75 = 52,209.75 : x
  2. Step 2: Convert to fraction form
    24,634.50/52,209.75 = 52,209.75/x
  3. Step 3: Cross multiply
    24,634.50x = 52,209.75 × 52,209.75
  4. Step 4: Simplify right side
    24,634.50x = 2,725,857,995.06
  5. Step 5: Solve for x
    x = 2,725,857,995.06/24,634.50
  6. Step 6: Final answer
    x = 110,652.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.