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Finding the Third Proportional to 38,986 and 58,829

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Solution

The third proportional to 38,986 and 58,829 is: 88,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986 : 58,829 = 58,829 : x
  2. Step 2: Convert to fraction form
    38,986/58,829 = 58,829/x
  3. Step 3: Cross multiply
    38,986x = 58,829 × 58,829
  4. Step 4: Simplify right side
    38,986x = 3,460,851,241
  5. Step 5: Solve for x
    x = 3,460,851,241/38,986
  6. Step 6: Final answer
    x = 88,771.64

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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.