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Finding the Third Proportional to 11,572 and 17,330

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Solution

The third proportional to 11,572 and 17,330 is: 25,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 17,330 = 17,330 : x
  2. Step 2: Convert to fraction form
    11,572/17,330 = 17,330/x
  3. Step 3: Cross multiply
    11,572x = 17,330 × 17,330
  4. Step 4: Simplify right side
    11,572x = 300,328,900
  5. Step 5: Solve for x
    x = 300,328,900/11,572
  6. Step 6: Final answer
    x = 25,953.07

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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.