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Finding the Third Proportional to 39,034 and 57,822

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Solution

The third proportional to 39,034 and 57,822 is: 85,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034 : 57,822 = 57,822 : x
  2. Step 2: Convert to fraction form
    39,034/57,822 = 57,822/x
  3. Step 3: Cross multiply
    39,034x = 57,822 × 57,822
  4. Step 4: Simplify right side
    39,034x = 3,343,383,684
  5. Step 5: Solve for x
    x = 3,343,383,684/39,034
  6. Step 6: Final answer
    x = 85,653.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.