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Finding the Third Proportional to 48,384 and 74,754

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Solution

The third proportional to 48,384 and 74,754 is: 115,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 74,754 = 74,754 : x
  2. Step 2: Convert to fraction form
    48,384/74,754 = 74,754/x
  3. Step 3: Cross multiply
    48,384x = 74,754 × 74,754
  4. Step 4: Simplify right side
    48,384x = 5,588,160,516
  5. Step 5: Solve for x
    x = 5,588,160,516/48,384
  6. Step 6: Final answer
    x = 115,496.04

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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.