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Finding the Third Proportional to 27,643.78 and 41,697.28

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Solution

The third proportional to 27,643.78 and 41,697.28 is: 62,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.78 : 41,697.28 = 41,697.28 : x
  2. Step 2: Convert to fraction form
    27,643.78/41,697.28 = 41,697.28/x
  3. Step 3: Cross multiply
    27,643.78x = 41,697.28 × 41,697.28
  4. Step 4: Simplify right side
    27,643.78x = 1,738,663,263.64
  5. Step 5: Solve for x
    x = 1,738,663,263.64/27,643.78
  6. Step 6: Final answer
    x = 62,895.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.