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Finding the Third Proportional to 27,569 and 62,888

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Solution

The third proportional to 27,569 and 62,888 is: 143,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 62,888 = 62,888 : x
  2. Step 2: Convert to fraction form
    27,569/62,888 = 62,888/x
  3. Step 3: Cross multiply
    27,569x = 62,888 × 62,888
  4. Step 4: Simplify right side
    27,569x = 3,954,900,544
  5. Step 5: Solve for x
    x = 3,954,900,544/27,569
  6. Step 6: Final answer
    x = 143,454.62

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.