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Finding the Third Proportional to 22,854 and 35,318

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Solution

The third proportional to 22,854 and 35,318 is: 54,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854 : 35,318 = 35,318 : x
  2. Step 2: Convert to fraction form
    22,854/35,318 = 35,318/x
  3. Step 3: Cross multiply
    22,854x = 35,318 × 35,318
  4. Step 4: Simplify right side
    22,854x = 1,247,361,124
  5. Step 5: Solve for x
    x = 1,247,361,124/22,854
  6. Step 6: Final answer
    x = 54,579.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.