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Finding the Third Proportional to 39,512 and 61,014

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Solution

The third proportional to 39,512 and 61,014 is: 94,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 61,014 = 61,014 : x
  2. Step 2: Convert to fraction form
    39,512/61,014 = 61,014/x
  3. Step 3: Cross multiply
    39,512x = 61,014 × 61,014
  4. Step 4: Simplify right side
    39,512x = 3,722,708,196
  5. Step 5: Solve for x
    x = 3,722,708,196/39,512
  6. Step 6: Final answer
    x = 94,217.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.