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Finding the Third Proportional to 39,856 and 58,623

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Solution

The third proportional to 39,856 and 58,623 is: 86,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856 : 58,623 = 58,623 : x
  2. Step 2: Convert to fraction form
    39,856/58,623 = 58,623/x
  3. Step 3: Cross multiply
    39,856x = 58,623 × 58,623
  4. Step 4: Simplify right side
    39,856x = 3,436,656,129
  5. Step 5: Solve for x
    x = 3,436,656,129/39,856
  6. Step 6: Final answer
    x = 86,226.82

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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.