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Finding the Third Proportional to 16,016 and 30,580

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Solution

The third proportional to 16,016 and 30,580 is: 58,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016 : 30,580 = 30,580 : x
  2. Step 2: Convert to fraction form
    16,016/30,580 = 30,580/x
  3. Step 3: Cross multiply
    16,016x = 30,580 × 30,580
  4. Step 4: Simplify right side
    16,016x = 935,136,400
  5. Step 5: Solve for x
    x = 935,136,400/16,016
  6. Step 6: Final answer
    x = 58,387.64

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.