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Finding the Third Proportional to 48,701 and 62,229

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Solution

The third proportional to 48,701 and 62,229 is: 79,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701 : 62,229 = 62,229 : x
  2. Step 2: Convert to fraction form
    48,701/62,229 = 62,229/x
  3. Step 3: Cross multiply
    48,701x = 62,229 × 62,229
  4. Step 4: Simplify right side
    48,701x = 3,872,448,441
  5. Step 5: Solve for x
    x = 3,872,448,441/48,701
  6. Step 6: Final answer
    x = 79,514.76

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.