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Finding the Third Proportional to 22,308.50 and 35,874.75

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Solution

The third proportional to 22,308.50 and 35,874.75 is: 57,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.50 : 35,874.75 = 35,874.75 : x
  2. Step 2: Convert to fraction form
    22,308.50/35,874.75 = 35,874.75/x
  3. Step 3: Cross multiply
    22,308.50x = 35,874.75 × 35,874.75
  4. Step 4: Simplify right side
    22,308.50x = 1,286,997,687.56
  5. Step 5: Solve for x
    x = 1,286,997,687.56/22,308.50
  6. Step 6: Final answer
    x = 57,690.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.