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Finding the Third Proportional to 10,242 and 14,493

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Solution

The third proportional to 10,242 and 14,493 is: 20,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 14,493 = 14,493 : x
  2. Step 2: Convert to fraction form
    10,242/14,493 = 14,493/x
  3. Step 3: Cross multiply
    10,242x = 14,493 × 14,493
  4. Step 4: Simplify right side
    10,242x = 210,047,049
  5. Step 5: Solve for x
    x = 210,047,049/10,242
  6. Step 6: Final answer
    x = 20,508.40

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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.