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Finding the Third Proportional to 27,688 and 39,802

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Solution

The third proportional to 27,688 and 39,802 is: 57,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688 : 39,802 = 39,802 : x
  2. Step 2: Convert to fraction form
    27,688/39,802 = 39,802/x
  3. Step 3: Cross multiply
    27,688x = 39,802 × 39,802
  4. Step 4: Simplify right side
    27,688x = 1,584,199,204
  5. Step 5: Solve for x
    x = 1,584,199,204/27,688
  6. Step 6: Final answer
    x = 57,216.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.