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Finding the Third Proportional to 15,608 and 34,136

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Solution

The third proportional to 15,608 and 34,136 is: 74,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608 : 34,136 = 34,136 : x
  2. Step 2: Convert to fraction form
    15,608/34,136 = 34,136/x
  3. Step 3: Cross multiply
    15,608x = 34,136 × 34,136
  4. Step 4: Simplify right side
    15,608x = 1,165,266,496
  5. Step 5: Solve for x
    x = 1,165,266,496/15,608
  6. Step 6: Final answer
    x = 74,658.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.