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Finding the Third Proportional to 7,400 and 15,853

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Solution

The third proportional to 7,400 and 15,853 is: 33,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400 : 15,853 = 15,853 : x
  2. Step 2: Convert to fraction form
    7,400/15,853 = 15,853/x
  3. Step 3: Cross multiply
    7,400x = 15,853 × 15,853
  4. Step 4: Simplify right side
    7,400x = 251,317,609
  5. Step 5: Solve for x
    x = 251,317,609/7,400
  6. Step 6: Final answer
    x = 33,961.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.