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Finding the Third Proportional to 12,292 and 19,761

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Solution

The third proportional to 12,292 and 19,761 is: 31,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292 : 19,761 = 19,761 : x
  2. Step 2: Convert to fraction form
    12,292/19,761 = 19,761/x
  3. Step 3: Cross multiply
    12,292x = 19,761 × 19,761
  4. Step 4: Simplify right side
    12,292x = 390,497,121
  5. Step 5: Solve for x
    x = 390,497,121/12,292
  6. Step 6: Final answer
    x = 31,768.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.