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Finding the Third Proportional to 27,897.75 and 57,678.75

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Solution

The third proportional to 27,897.75 and 57,678.75 is: 119,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.75 : 57,678.75 = 57,678.75 : x
  2. Step 2: Convert to fraction form
    27,897.75/57,678.75 = 57,678.75/x
  3. Step 3: Cross multiply
    27,897.75x = 57,678.75 × 57,678.75
  4. Step 4: Simplify right side
    27,897.75x = 3,326,838,201.56
  5. Step 5: Solve for x
    x = 3,326,838,201.56/27,897.75
  6. Step 6: Final answer
    x = 119,251.13

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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.