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Finding the Third Proportional to 38,816 and 84,160

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Solution

The third proportional to 38,816 and 84,160 is: 182,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 84,160 = 84,160 : x
  2. Step 2: Convert to fraction form
    38,816/84,160 = 84,160/x
  3. Step 3: Cross multiply
    38,816x = 84,160 × 84,160
  4. Step 4: Simplify right side
    38,816x = 7,082,905,600
  5. Step 5: Solve for x
    x = 7,082,905,600/38,816
  6. Step 6: Final answer
    x = 182,473.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.