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Finding the Third Proportional to 12,596 and 26,410

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Solution

The third proportional to 12,596 and 26,410 is: 55,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 26,410 = 26,410 : x
  2. Step 2: Convert to fraction form
    12,596/26,410 = 26,410/x
  3. Step 3: Cross multiply
    12,596x = 26,410 × 26,410
  4. Step 4: Simplify right side
    12,596x = 697,488,100
  5. Step 5: Solve for x
    x = 697,488,100/12,596
  6. Step 6: Final answer
    x = 55,373.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.