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Finding the Third Proportional to 39,830 and 87,048

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Solution

The third proportional to 39,830 and 87,048 is: 190,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830 : 87,048 = 87,048 : x
  2. Step 2: Convert to fraction form
    39,830/87,048 = 87,048/x
  3. Step 3: Cross multiply
    39,830x = 87,048 × 87,048
  4. Step 4: Simplify right side
    39,830x = 7,577,354,304
  5. Step 5: Solve for x
    x = 7,577,354,304/39,830
  6. Step 6: Final answer
    x = 190,242.39

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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.