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Finding the Third Proportional to 38,998 and 58,847

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Solution

The third proportional to 38,998 and 58,847 is: 88,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998 : 58,847 = 58,847 : x
  2. Step 2: Convert to fraction form
    38,998/58,847 = 58,847/x
  3. Step 3: Cross multiply
    38,998x = 58,847 × 58,847
  4. Step 4: Simplify right side
    38,998x = 3,462,969,409
  5. Step 5: Solve for x
    x = 3,462,969,409/38,998
  6. Step 6: Final answer
    x = 88,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.