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Finding the Third Proportional to 27,905 and 60,822

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Solution

The third proportional to 27,905 and 60,822 is: 132,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905 : 60,822 = 60,822 : x
  2. Step 2: Convert to fraction form
    27,905/60,822 = 60,822/x
  3. Step 3: Cross multiply
    27,905x = 60,822 × 60,822
  4. Step 4: Simplify right side
    27,905x = 3,699,315,684
  5. Step 5: Solve for x
    x = 3,699,315,684/27,905
  6. Step 6: Final answer
    x = 132,568.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.