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Finding the Third Proportional to 41,520 and 64,320

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Solution

The third proportional to 41,520 and 64,320 is: 99,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520 : 64,320 = 64,320 : x
  2. Step 2: Convert to fraction form
    41,520/64,320 = 64,320/x
  3. Step 3: Cross multiply
    41,520x = 64,320 × 64,320
  4. Step 4: Simplify right side
    41,520x = 4,137,062,400
  5. Step 5: Solve for x
    x = 4,137,062,400/41,520
  6. Step 6: Final answer
    x = 99,640.23

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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.