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Finding the Third Proportional to 27,029 and 40,868

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Solution

The third proportional to 27,029 and 40,868 is: 61,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029 : 40,868 = 40,868 : x
  2. Step 2: Convert to fraction form
    27,029/40,868 = 40,868/x
  3. Step 3: Cross multiply
    27,029x = 40,868 × 40,868
  4. Step 4: Simplify right side
    27,029x = 1,670,193,424
  5. Step 5: Solve for x
    x = 1,670,193,424/27,029
  6. Step 6: Final answer
    x = 61,792.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.