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Finding the Third Proportional to 41,328 and 60,480

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Solution

The third proportional to 41,328 and 60,480 is: 88,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,328 : 60,480 = 60,480 : x
  2. Step 2: Convert to fraction form
    41,328/60,480 = 60,480/x
  3. Step 3: Cross multiply
    41,328x = 60,480 × 60,480
  4. Step 4: Simplify right side
    41,328x = 3,657,830,400
  5. Step 5: Solve for x
    x = 3,657,830,400/41,328
  6. Step 6: Final answer
    x = 88,507.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.