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Finding the Third Proportional to 27,228.25 and 41,643.38

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Solution

The third proportional to 27,228.25 and 41,643.38 is: 63,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228.25 : 41,643.38 = 41,643.38 : x
  2. Step 2: Convert to fraction form
    27,228.25/41,643.38 = 41,643.38/x
  3. Step 3: Cross multiply
    27,228.25x = 41,643.38 × 41,643.38
  4. Step 4: Simplify right side
    27,228.25x = 1,734,170,681.39
  5. Step 5: Solve for x
    x = 1,734,170,681.39/27,228.25
  6. Step 6: Final answer
    x = 63,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.