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Finding the Third Proportional to 39,580 and 61,302

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Solution

The third proportional to 39,580 and 61,302 is: 94,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,580 : 61,302 = 61,302 : x
  2. Step 2: Convert to fraction form
    39,580/61,302 = 61,302/x
  3. Step 3: Cross multiply
    39,580x = 61,302 × 61,302
  4. Step 4: Simplify right side
    39,580x = 3,757,935,204
  5. Step 5: Solve for x
    x = 3,757,935,204/39,580
  6. Step 6: Final answer
    x = 94,945.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.