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Finding the Third Proportional to 38,610 and 82,998

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Solution

The third proportional to 38,610 and 82,998 is: 178,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,610 : 82,998 = 82,998 : x
  2. Step 2: Convert to fraction form
    38,610/82,998 = 82,998/x
  3. Step 3: Cross multiply
    38,610x = 82,998 × 82,998
  4. Step 4: Simplify right side
    38,610x = 6,888,668,004
  5. Step 5: Solve for x
    x = 6,888,668,004/38,610
  6. Step 6: Final answer
    x = 178,416.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.