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Finding the Third Proportional to 39,994 and 58,691

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Solution

The third proportional to 39,994 and 58,691 is: 86,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,994 : 58,691 = 58,691 : x
  2. Step 2: Convert to fraction form
    39,994/58,691 = 58,691/x
  3. Step 3: Cross multiply
    39,994x = 58,691 × 58,691
  4. Step 4: Simplify right side
    39,994x = 3,444,633,481
  5. Step 5: Solve for x
    x = 3,444,633,481/39,994
  6. Step 6: Final answer
    x = 86,128.76

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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.