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Finding the Third Proportional to 23,456.75 and 47,868.50

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Solution

The third proportional to 23,456.75 and 47,868.50 is: 97,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.75 : 47,868.50 = 47,868.50 : x
  2. Step 2: Convert to fraction form
    23,456.75/47,868.50 = 47,868.50/x
  3. Step 3: Cross multiply
    23,456.75x = 47,868.50 × 47,868.50
  4. Step 4: Simplify right side
    23,456.75x = 2,291,393,292.25
  5. Step 5: Solve for x
    x = 2,291,393,292.25/23,456.75
  6. Step 6: Final answer
    x = 97,685.88

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.