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Finding the Third Proportional to 34,409.25 and 48,456

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Solution

The third proportional to 34,409.25 and 48,456 is: 68,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.25 : 48,456 = 48,456 : x
  2. Step 2: Convert to fraction form
    34,409.25/48,456 = 48,456/x
  3. Step 3: Cross multiply
    34,409.25x = 48,456 × 48,456
  4. Step 4: Simplify right side
    34,409.25x = 2,347,983,936
  5. Step 5: Solve for x
    x = 2,347,983,936/34,409.25
  6. Step 6: Final answer
    x = 68,237.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.