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Finding the Third Proportional to 23,630 and 38,679

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Solution

The third proportional to 23,630 and 38,679 is: 63,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630 : 38,679 = 38,679 : x
  2. Step 2: Convert to fraction form
    23,630/38,679 = 38,679/x
  3. Step 3: Cross multiply
    23,630x = 38,679 × 38,679
  4. Step 4: Simplify right side
    23,630x = 1,496,065,041
  5. Step 5: Solve for x
    x = 1,496,065,041/23,630
  6. Step 6: Final answer
    x = 63,312.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.