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Finding the Third Proportional to 38,896 and 84,920

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Solution

The third proportional to 38,896 and 84,920 is: 185,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896 : 84,920 = 84,920 : x
  2. Step 2: Convert to fraction form
    38,896/84,920 = 84,920/x
  3. Step 3: Cross multiply
    38,896x = 84,920 × 84,920
  4. Step 4: Simplify right side
    38,896x = 7,211,406,400
  5. Step 5: Solve for x
    x = 7,211,406,400/38,896
  6. Step 6: Final answer
    x = 185,402.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.