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Finding the Third Proportional to 36,136 and 55,613

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Solution

The third proportional to 36,136 and 55,613 is: 85,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,136 : 55,613 = 55,613 : x
  2. Step 2: Convert to fraction form
    36,136/55,613 = 55,613/x
  3. Step 3: Cross multiply
    36,136x = 55,613 × 55,613
  4. Step 4: Simplify right side
    36,136x = 3,092,805,769
  5. Step 5: Solve for x
    x = 3,092,805,769/36,136
  6. Step 6: Final answer
    x = 85,587.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.