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Finding the Third Proportional to 48,382 and 74,755

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Solution

The third proportional to 48,382 and 74,755 is: 115,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382 : 74,755 = 74,755 : x
  2. Step 2: Convert to fraction form
    48,382/74,755 = 74,755/x
  3. Step 3: Cross multiply
    48,382x = 74,755 × 74,755
  4. Step 4: Simplify right side
    48,382x = 5,588,310,025
  5. Step 5: Solve for x
    x = 5,588,310,025/48,382
  6. Step 6: Final answer
    x = 115,503.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.