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Finding the Third Proportional to 25,261.50 and 34,974

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Solution

The third proportional to 25,261.50 and 34,974 is: 48,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,261.50 : 34,974 = 34,974 : x
  2. Step 2: Convert to fraction form
    25,261.50/34,974 = 34,974/x
  3. Step 3: Cross multiply
    25,261.50x = 34,974 × 34,974
  4. Step 4: Simplify right side
    25,261.50x = 1,223,180,676
  5. Step 5: Solve for x
    x = 1,223,180,676/25,261.50
  6. Step 6: Final answer
    x = 48,420.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.