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Finding the Third Proportional to 4,136.50 and 9,017

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Solution

The third proportional to 4,136.50 and 9,017 is: 19,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.50 : 9,017 = 9,017 : x
  2. Step 2: Convert to fraction form
    4,136.50/9,017 = 9,017/x
  3. Step 3: Cross multiply
    4,136.50x = 9,017 × 9,017
  4. Step 4: Simplify right side
    4,136.50x = 81,306,289
  5. Step 5: Solve for x
    x = 81,306,289/4,136.50
  6. Step 6: Final answer
    x = 19,655.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.