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Finding the Third Proportional to 39,194 and 59,612

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Solution

The third proportional to 39,194 and 59,612 is: 90,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194 : 59,612 = 59,612 : x
  2. Step 2: Convert to fraction form
    39,194/59,612 = 59,612/x
  3. Step 3: Cross multiply
    39,194x = 59,612 × 59,612
  4. Step 4: Simplify right side
    39,194x = 3,553,590,544
  5. Step 5: Solve for x
    x = 3,553,590,544/39,194
  6. Step 6: Final answer
    x = 90,666.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.