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Finding the Third Proportional to 23,319 and 34,974

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Solution

The third proportional to 23,319 and 34,974 is: 52,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,319 : 34,974 = 34,974 : x
  2. Step 2: Convert to fraction form
    23,319/34,974 = 34,974/x
  3. Step 3: Cross multiply
    23,319x = 34,974 × 34,974
  4. Step 4: Simplify right side
    23,319x = 1,223,180,676
  5. Step 5: Solve for x
    x = 1,223,180,676/23,319
  6. Step 6: Final answer
    x = 52,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.