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Finding the Third Proportional to 12,634 and 26,534

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Solution

The third proportional to 12,634 and 26,534 is: 55,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634 : 26,534 = 26,534 : x
  2. Step 2: Convert to fraction form
    12,634/26,534 = 26,534/x
  3. Step 3: Cross multiply
    12,634x = 26,534 × 26,534
  4. Step 4: Simplify right side
    12,634x = 704,053,156
  5. Step 5: Solve for x
    x = 704,053,156/12,634
  6. Step 6: Final answer
    x = 55,726.86

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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.