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Finding the Third Proportional to 19,658 and 27,630

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Solution

The third proportional to 19,658 and 27,630 is: 38,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 27,630 = 27,630 : x
  2. Step 2: Convert to fraction form
    19,658/27,630 = 27,630/x
  3. Step 3: Cross multiply
    19,658x = 27,630 × 27,630
  4. Step 4: Simplify right side
    19,658x = 763,416,900
  5. Step 5: Solve for x
    x = 763,416,900/19,658
  6. Step 6: Final answer
    x = 38,834.92

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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.