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Finding the Third Proportional to 39,196 and 58,883

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Solution

The third proportional to 39,196 and 58,883 is: 88,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196 : 58,883 = 58,883 : x
  2. Step 2: Convert to fraction form
    39,196/58,883 = 58,883/x
  3. Step 3: Cross multiply
    39,196x = 58,883 × 58,883
  4. Step 4: Simplify right side
    39,196x = 3,467,207,689
  5. Step 5: Solve for x
    x = 3,467,207,689/39,196
  6. Step 6: Final answer
    x = 88,458.20

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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.