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Finding the Third Proportional to 34,497 and 52,974

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Solution

The third proportional to 34,497 and 52,974 is: 81,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497 : 52,974 = 52,974 : x
  2. Step 2: Convert to fraction form
    34,497/52,974 = 52,974/x
  3. Step 3: Cross multiply
    34,497x = 52,974 × 52,974
  4. Step 4: Simplify right side
    34,497x = 2,806,244,676
  5. Step 5: Solve for x
    x = 2,806,244,676/34,497
  6. Step 6: Final answer
    x = 81,347.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.