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Finding the Third Proportional to 22,873 and 35,797.75

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Solution

The third proportional to 22,873 and 35,797.75 is: 56,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873 : 35,797.75 = 35,797.75 : x
  2. Step 2: Convert to fraction form
    22,873/35,797.75 = 35,797.75/x
  3. Step 3: Cross multiply
    22,873x = 35,797.75 × 35,797.75
  4. Step 4: Simplify right side
    22,873x = 1,281,478,905.06
  5. Step 5: Solve for x
    x = 1,281,478,905.06/22,873
  6. Step 6: Final answer
    x = 56,025.83

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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.