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Finding the Third Proportional to 24,768 and 38,106

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Solution

The third proportional to 24,768 and 38,106 is: 58,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 38,106 = 38,106 : x
  2. Step 2: Convert to fraction form
    24,768/38,106 = 38,106/x
  3. Step 3: Cross multiply
    24,768x = 38,106 × 38,106
  4. Step 4: Simplify right side
    24,768x = 1,452,067,236
  5. Step 5: Solve for x
    x = 1,452,067,236/24,768
  6. Step 6: Final answer
    x = 58,626.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.