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Finding the Third Proportional to 39,396 and 61,014

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Solution

The third proportional to 39,396 and 61,014 is: 94,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,396 : 61,014 = 61,014 : x
  2. Step 2: Convert to fraction form
    39,396/61,014 = 61,014/x
  3. Step 3: Cross multiply
    39,396x = 61,014 × 61,014
  4. Step 4: Simplify right side
    39,396x = 3,722,708,196
  5. Step 5: Solve for x
    x = 3,722,708,196/39,396
  6. Step 6: Final answer
    x = 94,494.57

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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.