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Finding the Third Proportional to 23,452.50 and 47,860.13

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Solution

The third proportional to 23,452.50 and 47,860.13 is: 97,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.50 : 47,860.13 = 47,860.13 : x
  2. Step 2: Convert to fraction form
    23,452.50/47,860.13 = 47,860.13/x
  3. Step 3: Cross multiply
    23,452.50x = 47,860.13 × 47,860.13
  4. Step 4: Simplify right side
    23,452.50x = 2,290,591,565.02
  5. Step 5: Solve for x
    x = 2,290,591,565.02/23,452.50
  6. Step 6: Final answer
    x = 97,669.40

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Why These Related Problems?

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