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Finding the Third Proportional to 48,084 and 74,645

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Solution

The third proportional to 48,084 and 74,645 is: 115,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,084 : 74,645 = 74,645 : x
  2. Step 2: Convert to fraction form
    48,084/74,645 = 74,645/x
  3. Step 3: Cross multiply
    48,084x = 74,645 × 74,645
  4. Step 4: Simplify right side
    48,084x = 5,571,876,025
  5. Step 5: Solve for x
    x = 5,571,876,025/48,084
  6. Step 6: Final answer
    x = 115,877.96

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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.