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Finding the Third Proportional to 22,641.75 and 35,814.38

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Solution

The third proportional to 22,641.75 and 35,814.38 is: 56,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.75 : 35,814.38 = 35,814.38 : x
  2. Step 2: Convert to fraction form
    22,641.75/35,814.38 = 35,814.38/x
  3. Step 3: Cross multiply
    22,641.75x = 35,814.38 × 35,814.38
  4. Step 4: Simplify right side
    22,641.75x = 1,282,669,456.64
  5. Step 5: Solve for x
    x = 1,282,669,456.64/22,641.75
  6. Step 6: Final answer
    x = 56,650.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.