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Finding the Third Proportional to 23,631.75 and 48,478.50

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Solution

The third proportional to 23,631.75 and 48,478.50 is: 99,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 48,478.50 = 48,478.50 : x
  2. Step 2: Convert to fraction form
    23,631.75/48,478.50 = 48,478.50/x
  3. Step 3: Cross multiply
    23,631.75x = 48,478.50 × 48,478.50
  4. Step 4: Simplify right side
    23,631.75x = 2,350,164,962.25
  5. Step 5: Solve for x
    x = 2,350,164,962.25/23,631.75
  6. Step 6: Final answer
    x = 99,449.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.