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Finding the Third Proportional to 27,626 and 59,130

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Solution

The third proportional to 27,626 and 59,130 is: 126,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,626 : 59,130 = 59,130 : x
  2. Step 2: Convert to fraction form
    27,626/59,130 = 59,130/x
  3. Step 3: Cross multiply
    27,626x = 59,130 × 59,130
  4. Step 4: Simplify right side
    27,626x = 3,496,356,900
  5. Step 5: Solve for x
    x = 3,496,356,900/27,626
  6. Step 6: Final answer
    x = 126,560.37

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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.