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Finding the Third Proportional to 26,934.13 and 57,272.38

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Solution

The third proportional to 26,934.13 and 57,272.38 is: 121,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934.13 : 57,272.38 = 57,272.38 : x
  2. Step 2: Convert to fraction form
    26,934.13/57,272.38 = 57,272.38/x
  3. Step 3: Cross multiply
    26,934.13x = 57,272.38 × 57,272.38
  4. Step 4: Simplify right side
    26,934.13x = 3,280,124,938.14
  5. Step 5: Solve for x
    x = 3,280,124,938.14/26,934.13
  6. Step 6: Final answer
    x = 121,783.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.