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Finding the Third Proportional to 7,944 and 18,402

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Solution

The third proportional to 7,944 and 18,402 is: 42,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 18,402 = 18,402 : x
  2. Step 2: Convert to fraction form
    7,944/18,402 = 18,402/x
  3. Step 3: Cross multiply
    7,944x = 18,402 × 18,402
  4. Step 4: Simplify right side
    7,944x = 338,633,604
  5. Step 5: Solve for x
    x = 338,633,604/7,944
  6. Step 6: Final answer
    x = 42,627.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.