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Finding the Third Proportional to 10,074 and 14,301

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Solution

The third proportional to 10,074 and 14,301 is: 20,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 14,301 = 14,301 : x
  2. Step 2: Convert to fraction form
    10,074/14,301 = 14,301/x
  3. Step 3: Cross multiply
    10,074x = 14,301 × 14,301
  4. Step 4: Simplify right side
    10,074x = 204,518,601
  5. Step 5: Solve for x
    x = 204,518,601/10,074
  6. Step 6: Final answer
    x = 20,301.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.