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Finding the Third Proportional to 38,987.25 and 82,048.13

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Solution

The third proportional to 38,987.25 and 82,048.13 is: 172,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,987.25 : 82,048.13 = 82,048.13 : x
  2. Step 2: Convert to fraction form
    38,987.25/82,048.13 = 82,048.13/x
  3. Step 3: Cross multiply
    38,987.25x = 82,048.13 × 82,048.13
  4. Step 4: Simplify right side
    38,987.25x = 6,731,894,816.02
  5. Step 5: Solve for x
    x = 6,731,894,816.02/38,987.25
  6. Step 6: Final answer
    x = 172,669.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.