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Finding the Third Proportional to 45,960.75 and 71,023.50

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Solution

The third proportional to 45,960.75 and 71,023.50 is: 109,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960.75 : 71,023.50 = 71,023.50 : x
  2. Step 2: Convert to fraction form
    45,960.75/71,023.50 = 71,023.50/x
  3. Step 3: Cross multiply
    45,960.75x = 71,023.50 × 71,023.50
  4. Step 4: Simplify right side
    45,960.75x = 5,044,337,552.25
  5. Step 5: Solve for x
    x = 5,044,337,552.25/45,960.75
  6. Step 6: Final answer
    x = 109,753.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.