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Finding the Third Proportional to 30,708 and 63,372

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Solution

The third proportional to 30,708 and 63,372 is: 130,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708 : 63,372 = 63,372 : x
  2. Step 2: Convert to fraction form
    30,708/63,372 = 63,372/x
  3. Step 3: Cross multiply
    30,708x = 63,372 × 63,372
  4. Step 4: Simplify right side
    30,708x = 4,016,010,384
  5. Step 5: Solve for x
    x = 4,016,010,384/30,708
  6. Step 6: Final answer
    x = 130,780.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.