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Finding the Third Proportional to 26,984.39 and 42,247.83

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Solution

The third proportional to 26,984.39 and 42,247.83 is: 66,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984.39 : 42,247.83 = 42,247.83 : x
  2. Step 2: Convert to fraction form
    26,984.39/42,247.83 = 42,247.83/x
  3. Step 3: Cross multiply
    26,984.39x = 42,247.83 × 42,247.83
  4. Step 4: Simplify right side
    26,984.39x = 1,784,878,981.28
  5. Step 5: Solve for x
    x = 1,784,878,981.28/26,984.39
  6. Step 6: Final answer
    x = 66,144.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.