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Finding the Third Proportional to 12,232 and 26,406

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Solution

The third proportional to 12,232 and 26,406 is: 57,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232 : 26,406 = 26,406 : x
  2. Step 2: Convert to fraction form
    12,232/26,406 = 26,406/x
  3. Step 3: Cross multiply
    12,232x = 26,406 × 26,406
  4. Step 4: Simplify right side
    12,232x = 697,276,836
  5. Step 5: Solve for x
    x = 697,276,836/12,232
  6. Step 6: Final answer
    x = 57,004.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.