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Finding the Third Proportional to 16,017.75 and 34,120.13

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Solution

The third proportional to 16,017.75 and 34,120.13 is: 72,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.75 : 34,120.13 = 34,120.13 : x
  2. Step 2: Convert to fraction form
    16,017.75/34,120.13 = 34,120.13/x
  3. Step 3: Cross multiply
    16,017.75x = 34,120.13 × 34,120.13
  4. Step 4: Simplify right side
    16,017.75x = 1,164,182,930.02
  5. Step 5: Solve for x
    x = 1,164,182,930.02/16,017.75
  6. Step 6: Final answer
    x = 72,680.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.