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Finding the Third Proportional to 30,358 and 62,218

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Solution

The third proportional to 30,358 and 62,218 is: 127,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358 : 62,218 = 62,218 : x
  2. Step 2: Convert to fraction form
    30,358/62,218 = 62,218/x
  3. Step 3: Cross multiply
    30,358x = 62,218 × 62,218
  4. Step 4: Simplify right side
    30,358x = 3,871,079,524
  5. Step 5: Solve for x
    x = 3,871,079,524/30,358
  6. Step 6: Final answer
    x = 127,514.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.