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Finding the Third Proportional to 27,918 and 39,052.13

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Solution

The third proportional to 27,918 and 39,052.13 is: 54,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,918 : 39,052.13 = 39,052.13 : x
  2. Step 2: Convert to fraction form
    27,918/39,052.13 = 39,052.13/x
  3. Step 3: Cross multiply
    27,918x = 39,052.13 × 39,052.13
  4. Step 4: Simplify right side
    27,918x = 1,525,068,467.02
  5. Step 5: Solve for x
    x = 1,525,068,467.02/27,918
  6. Step 6: Final answer
    x = 54,626.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.