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Finding the Third Proportional to 23,672.50 and 54,807.50

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Solution

The third proportional to 23,672.50 and 54,807.50 is: 126,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.50 : 54,807.50 = 54,807.50 : x
  2. Step 2: Convert to fraction form
    23,672.50/54,807.50 = 54,807.50/x
  3. Step 3: Cross multiply
    23,672.50x = 54,807.50 × 54,807.50
  4. Step 4: Simplify right side
    23,672.50x = 3,003,862,056.25
  5. Step 5: Solve for x
    x = 3,003,862,056.25/23,672.50
  6. Step 6: Final answer
    x = 126,892.47

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.