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Finding the Third Proportional to 12,600 and 25,743

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Solution

The third proportional to 12,600 and 25,743 is: 52,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600 : 25,743 = 25,743 : x
  2. Step 2: Convert to fraction form
    12,600/25,743 = 25,743/x
  3. Step 3: Cross multiply
    12,600x = 25,743 × 25,743
  4. Step 4: Simplify right side
    12,600x = 662,702,049
  5. Step 5: Solve for x
    x = 662,702,049/12,600
  6. Step 6: Final answer
    x = 52,595.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.