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Finding the Third Proportional to 24,600 and 38,196

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Solution

The third proportional to 24,600 and 38,196 is: 59,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 38,196 = 38,196 : x
  2. Step 2: Convert to fraction form
    24,600/38,196 = 38,196/x
  3. Step 3: Cross multiply
    24,600x = 38,196 × 38,196
  4. Step 4: Simplify right side
    24,600x = 1,458,934,416
  5. Step 5: Solve for x
    x = 1,458,934,416/24,600
  6. Step 6: Final answer
    x = 59,306.28

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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.