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Finding the Third Proportional to 39,822 and 87,029

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Solution

The third proportional to 39,822 and 87,029 is: 190,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822 : 87,029 = 87,029 : x
  2. Step 2: Convert to fraction form
    39,822/87,029 = 87,029/x
  3. Step 3: Cross multiply
    39,822x = 87,029 × 87,029
  4. Step 4: Simplify right side
    39,822x = 7,574,046,841
  5. Step 5: Solve for x
    x = 7,574,046,841/39,822
  6. Step 6: Final answer
    x = 190,197.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.