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Finding the Third Proportional to 34,497 and 51,381

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Solution

The third proportional to 34,497 and 51,381 is: 76,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497 : 51,381 = 51,381 : x
  2. Step 2: Convert to fraction form
    34,497/51,381 = 51,381/x
  3. Step 3: Cross multiply
    34,497x = 51,381 × 51,381
  4. Step 4: Simplify right side
    34,497x = 2,640,007,161
  5. Step 5: Solve for x
    x = 2,640,007,161/34,497
  6. Step 6: Final answer
    x = 76,528.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.