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Finding the Third Proportional to 12,724 and 19,225

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Solution

The third proportional to 12,724 and 19,225 is: 29,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724 : 19,225 = 19,225 : x
  2. Step 2: Convert to fraction form
    12,724/19,225 = 19,225/x
  3. Step 3: Cross multiply
    12,724x = 19,225 × 19,225
  4. Step 4: Simplify right side
    12,724x = 369,600,625
  5. Step 5: Solve for x
    x = 369,600,625/12,724
  6. Step 6: Final answer
    x = 29,047.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.