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Finding the Third Proportional to 12,141 and 26,424

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Solution

The third proportional to 12,141 and 26,424 is: 57,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 26,424 = 26,424 : x
  2. Step 2: Convert to fraction form
    12,141/26,424 = 26,424/x
  3. Step 3: Cross multiply
    12,141x = 26,424 × 26,424
  4. Step 4: Simplify right side
    12,141x = 698,227,776
  5. Step 5: Solve for x
    x = 698,227,776/12,141
  6. Step 6: Final answer
    x = 57,509.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.