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Finding the Third Proportional to 27,785.25 and 39,705.75

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Solution

The third proportional to 27,785.25 and 39,705.75 is: 56,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.25 : 39,705.75 = 39,705.75 : x
  2. Step 2: Convert to fraction form
    27,785.25/39,705.75 = 39,705.75/x
  3. Step 3: Cross multiply
    27,785.25x = 39,705.75 × 39,705.75
  4. Step 4: Simplify right side
    27,785.25x = 1,576,546,583.06
  5. Step 5: Solve for x
    x = 1,576,546,583.06/27,785.25
  6. Step 6: Final answer
    x = 56,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.