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Finding the Third Proportional to 27,629 and 59,136

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Solution

The third proportional to 27,629 and 59,136 is: 126,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629 : 59,136 = 59,136 : x
  2. Step 2: Convert to fraction form
    27,629/59,136 = 59,136/x
  3. Step 3: Cross multiply
    27,629x = 59,136 × 59,136
  4. Step 4: Simplify right side
    27,629x = 3,497,066,496
  5. Step 5: Solve for x
    x = 3,497,066,496/27,629
  6. Step 6: Final answer
    x = 126,572.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.