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Finding the Third Proportional to 22,767 and 32,247

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Solution

The third proportional to 22,767 and 32,247 is: 45,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 32,247 = 32,247 : x
  2. Step 2: Convert to fraction form
    22,767/32,247 = 32,247/x
  3. Step 3: Cross multiply
    22,767x = 32,247 × 32,247
  4. Step 4: Simplify right side
    22,767x = 1,039,869,009
  5. Step 5: Solve for x
    x = 1,039,869,009/22,767
  6. Step 6: Final answer
    x = 45,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.