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Finding the Third Proportional to 39,184 and 58,863

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Solution

The third proportional to 39,184 and 58,863 is: 88,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184 : 58,863 = 58,863 : x
  2. Step 2: Convert to fraction form
    39,184/58,863 = 58,863/x
  3. Step 3: Cross multiply
    39,184x = 58,863 × 58,863
  4. Step 4: Simplify right side
    39,184x = 3,464,852,769
  5. Step 5: Solve for x
    x = 3,464,852,769/39,184
  6. Step 6: Final answer
    x = 88,425.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.