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Finding the Third Proportional to 30,304 and 62,712

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Solution

The third proportional to 30,304 and 62,712 is: 129,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304 : 62,712 = 62,712 : x
  2. Step 2: Convert to fraction form
    30,304/62,712 = 62,712/x
  3. Step 3: Cross multiply
    30,304x = 62,712 × 62,712
  4. Step 4: Simplify right side
    30,304x = 3,932,794,944
  5. Step 5: Solve for x
    x = 3,932,794,944/30,304
  6. Step 6: Final answer
    x = 129,778.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.