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Finding the Third Proportional to 23,913.50 and 52,132.88

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Solution

The third proportional to 23,913.50 and 52,132.88 is: 113,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,913.50 : 52,132.88 = 52,132.88 : x
  2. Step 2: Convert to fraction form
    23,913.50/52,132.88 = 52,132.88/x
  3. Step 3: Cross multiply
    23,913.50x = 52,132.88 × 52,132.88
  4. Step 4: Simplify right side
    23,913.50x = 2,717,836,655.77
  5. Step 5: Solve for x
    x = 2,717,836,655.77/23,913.50
  6. Step 6: Final answer
    x = 113,652.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.