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Finding the Third Proportional to 27,075 and 58,758

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Solution

The third proportional to 27,075 and 58,758 is: 127,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075 : 58,758 = 58,758 : x
  2. Step 2: Convert to fraction form
    27,075/58,758 = 58,758/x
  3. Step 3: Cross multiply
    27,075x = 58,758 × 58,758
  4. Step 4: Simplify right side
    27,075x = 3,452,502,564
  5. Step 5: Solve for x
    x = 3,452,502,564/27,075
  6. Step 6: Final answer
    x = 127,516.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.