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Finding the Third Proportional to 39,190 and 58,693

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Solution

The third proportional to 39,190 and 58,693 is: 87,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,190 : 58,693 = 58,693 : x
  2. Step 2: Convert to fraction form
    39,190/58,693 = 58,693/x
  3. Step 3: Cross multiply
    39,190x = 58,693 × 58,693
  4. Step 4: Simplify right side
    39,190x = 3,444,868,249
  5. Step 5: Solve for x
    x = 3,444,868,249/39,190
  6. Step 6: Final answer
    x = 87,901.72

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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.