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Finding the Third Proportional to 39,416 and 84,992

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Solution

The third proportional to 39,416 and 84,992 is: 183,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,416 : 84,992 = 84,992 : x
  2. Step 2: Convert to fraction form
    39,416/84,992 = 84,992/x
  3. Step 3: Cross multiply
    39,416x = 84,992 × 84,992
  4. Step 4: Simplify right side
    39,416x = 7,223,640,064
  5. Step 5: Solve for x
    x = 7,223,640,064/39,416
  6. Step 6: Final answer
    x = 183,266.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.