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Finding the Third Proportional to 15,801 and 34,136

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Solution

The third proportional to 15,801 and 34,136 is: 73,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801 : 34,136 = 34,136 : x
  2. Step 2: Convert to fraction form
    15,801/34,136 = 34,136/x
  3. Step 3: Cross multiply
    15,801x = 34,136 × 34,136
  4. Step 4: Simplify right side
    15,801x = 1,165,266,496
  5. Step 5: Solve for x
    x = 1,165,266,496/15,801
  6. Step 6: Final answer
    x = 73,746.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.