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Finding the Third Proportional to 34,441 and 49,606.50

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Solution

The third proportional to 34,441 and 49,606.50 is: 71,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,441 : 49,606.50 = 49,606.50 : x
  2. Step 2: Convert to fraction form
    34,441/49,606.50 = 49,606.50/x
  3. Step 3: Cross multiply
    34,441x = 49,606.50 × 49,606.50
  4. Step 4: Simplify right side
    34,441x = 2,460,804,842.25
  5. Step 5: Solve for x
    x = 2,460,804,842.25/34,441
  6. Step 6: Final answer
    x = 71,449.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.