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Finding the Third Proportional to 48,440 and 65,748

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Solution

The third proportional to 48,440 and 65,748 is: 89,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,440 : 65,748 = 65,748 : x
  2. Step 2: Convert to fraction form
    48,440/65,748 = 65,748/x
  3. Step 3: Cross multiply
    48,440x = 65,748 × 65,748
  4. Step 4: Simplify right side
    48,440x = 4,322,799,504
  5. Step 5: Solve for x
    x = 4,322,799,504/48,440
  6. Step 6: Final answer
    x = 89,240.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.