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Finding the Third Proportional to 40,800 and 61,320

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Solution

The third proportional to 40,800 and 61,320 is: 92,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,800 : 61,320 = 61,320 : x
  2. Step 2: Convert to fraction form
    40,800/61,320 = 61,320/x
  3. Step 3: Cross multiply
    40,800x = 61,320 × 61,320
  4. Step 4: Simplify right side
    40,800x = 3,760,142,400
  5. Step 5: Solve for x
    x = 3,760,142,400/40,800
  6. Step 6: Final answer
    x = 92,160.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.