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Finding the Third Proportional to 12,422 and 26,140

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Solution

The third proportional to 12,422 and 26,140 is: 55,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422 : 26,140 = 26,140 : x
  2. Step 2: Convert to fraction form
    12,422/26,140 = 26,140/x
  3. Step 3: Cross multiply
    12,422x = 26,140 × 26,140
  4. Step 4: Simplify right side
    12,422x = 683,299,600
  5. Step 5: Solve for x
    x = 683,299,600/12,422
  6. Step 6: Final answer
    x = 55,007.21

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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.