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Finding the Third Proportional to 12,435 and 26,721

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Solution

The third proportional to 12,435 and 26,721 is: 57,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435 : 26,721 = 26,721 : x
  2. Step 2: Convert to fraction form
    12,435/26,721 = 26,721/x
  3. Step 3: Cross multiply
    12,435x = 26,721 × 26,721
  4. Step 4: Simplify right side
    12,435x = 714,011,841
  5. Step 5: Solve for x
    x = 714,011,841/12,435
  6. Step 6: Final answer
    x = 57,419.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.