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Finding the Third Proportional to 38,842 and 56,986

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Solution

The third proportional to 38,842 and 56,986 is: 83,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842 : 56,986 = 56,986 : x
  2. Step 2: Convert to fraction form
    38,842/56,986 = 56,986/x
  3. Step 3: Cross multiply
    38,842x = 56,986 × 56,986
  4. Step 4: Simplify right side
    38,842x = 3,247,404,196
  5. Step 5: Solve for x
    x = 3,247,404,196/38,842
  6. Step 6: Final answer
    x = 83,605.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.