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Finding the Third Proportional to 10,724 and 18,318

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Solution

The third proportional to 10,724 and 18,318 is: 31,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 18,318 = 18,318 : x
  2. Step 2: Convert to fraction form
    10,724/18,318 = 18,318/x
  3. Step 3: Cross multiply
    10,724x = 18,318 × 18,318
  4. Step 4: Simplify right side
    10,724x = 335,549,124
  5. Step 5: Solve for x
    x = 335,549,124/10,724
  6. Step 6: Final answer
    x = 31,289.55

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.