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Finding the Third Proportional to 27,705.38 and 57,381.38

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Solution

The third proportional to 27,705.38 and 57,381.38 is: 118,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.38 : 57,381.38 = 57,381.38 : x
  2. Step 2: Convert to fraction form
    27,705.38/57,381.38 = 57,381.38/x
  3. Step 3: Cross multiply
    27,705.38x = 57,381.38 × 57,381.38
  4. Step 4: Simplify right side
    27,705.38x = 3,292,622,196.89
  5. Step 5: Solve for x
    x = 3,292,622,196.89/27,705.38
  6. Step 6: Final answer
    x = 118,844.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.