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Finding the Third Proportional to 27,695.25 and 41,438.25

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Solution

The third proportional to 27,695.25 and 41,438.25 is: 62,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.25 : 41,438.25 = 41,438.25 : x
  2. Step 2: Convert to fraction form
    27,695.25/41,438.25 = 41,438.25/x
  3. Step 3: Cross multiply
    27,695.25x = 41,438.25 × 41,438.25
  4. Step 4: Simplify right side
    27,695.25x = 1,717,128,563.06
  5. Step 5: Solve for x
    x = 1,717,128,563.06/27,695.25
  6. Step 6: Final answer
    x = 62,000.83

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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.