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Finding the Third Proportional to 27,805.78 and 65,612.53

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Solution

The third proportional to 27,805.78 and 65,612.53 is: 154,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.78 : 65,612.53 = 65,612.53 : x
  2. Step 2: Convert to fraction form
    27,805.78/65,612.53 = 65,612.53/x
  3. Step 3: Cross multiply
    27,805.78x = 65,612.53 × 65,612.53
  4. Step 4: Simplify right side
    27,805.78x = 4,305,004,257.03
  5. Step 5: Solve for x
    x = 4,305,004,257.03/27,805.78
  6. Step 6: Final answer
    x = 154,824.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.