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Finding the Third Proportional to 22,816.69 and 35,837.44

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Solution

The third proportional to 22,816.69 and 35,837.44 is: 56,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.69 : 35,837.44 = 35,837.44 : x
  2. Step 2: Convert to fraction form
    22,816.69/35,837.44 = 35,837.44/x
  3. Step 3: Cross multiply
    22,816.69x = 35,837.44 × 35,837.44
  4. Step 4: Simplify right side
    22,816.69x = 1,284,321,926.57
  5. Step 5: Solve for x
    x = 1,284,321,926.57/22,816.69
  6. Step 6: Final answer
    x = 56,288.71

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1.5x scale

Why These Related Problems?

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