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Finding the Third Proportional to 10,822 and 16,232

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Solution

The third proportional to 10,822 and 16,232 is: 24,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 16,232 = 16,232 : x
  2. Step 2: Convert to fraction form
    10,822/16,232 = 16,232/x
  3. Step 3: Cross multiply
    10,822x = 16,232 × 16,232
  4. Step 4: Simplify right side
    10,822x = 263,477,824
  5. Step 5: Solve for x
    x = 263,477,824/10,822
  6. Step 6: Final answer
    x = 24,346.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.