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Finding the Third Proportional to 10,164 and 15,224

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Solution

The third proportional to 10,164 and 15,224 is: 22,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164 : 15,224 = 15,224 : x
  2. Step 2: Convert to fraction form
    10,164/15,224 = 15,224/x
  3. Step 3: Cross multiply
    10,164x = 15,224 × 15,224
  4. Step 4: Simplify right side
    10,164x = 231,770,176
  5. Step 5: Solve for x
    x = 231,770,176/10,164
  6. Step 6: Final answer
    x = 22,803.05

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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.