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Finding the Third Proportional to 38,768 and 54,596

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Solution

The third proportional to 38,768 and 54,596 is: 76,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768 : 54,596 = 54,596 : x
  2. Step 2: Convert to fraction form
    38,768/54,596 = 54,596/x
  3. Step 3: Cross multiply
    38,768x = 54,596 × 54,596
  4. Step 4: Simplify right side
    38,768x = 2,980,723,216
  5. Step 5: Solve for x
    x = 2,980,723,216/38,768
  6. Step 6: Final answer
    x = 76,886.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.