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Finding the Third Proportional to 48,384 and 74,756

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Solution

The third proportional to 48,384 and 74,756 is: 115,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 74,756 = 74,756 : x
  2. Step 2: Convert to fraction form
    48,384/74,756 = 74,756/x
  3. Step 3: Cross multiply
    48,384x = 74,756 × 74,756
  4. Step 4: Simplify right side
    48,384x = 5,588,459,536
  5. Step 5: Solve for x
    x = 5,588,459,536/48,384
  6. Step 6: Final answer
    x = 115,502.22

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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.