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Finding the Third Proportional to 48,375 and 74,748

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Solution

The third proportional to 48,375 and 74,748 is: 115,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375 : 74,748 = 74,748 : x
  2. Step 2: Convert to fraction form
    48,375/74,748 = 74,748/x
  3. Step 3: Cross multiply
    48,375x = 74,748 × 74,748
  4. Step 4: Simplify right side
    48,375x = 5,587,263,504
  5. Step 5: Solve for x
    x = 5,587,263,504/48,375
  6. Step 6: Final answer
    x = 115,498.99

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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.