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Finding the Third Proportional to 27,034 and 41,576.50

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Solution

The third proportional to 27,034 and 41,576.50 is: 63,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034 : 41,576.50 = 41,576.50 : x
  2. Step 2: Convert to fraction form
    27,034/41,576.50 = 41,576.50/x
  3. Step 3: Cross multiply
    27,034x = 41,576.50 × 41,576.50
  4. Step 4: Simplify right side
    27,034x = 1,728,605,352.25
  5. Step 5: Solve for x
    x = 1,728,605,352.25/27,034
  6. Step 6: Final answer
    x = 63,941.90

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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.