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Finding the Third Proportional to 15,174 and 32,530

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Solution

The third proportional to 15,174 and 32,530 is: 69,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174 : 32,530 = 32,530 : x
  2. Step 2: Convert to fraction form
    15,174/32,530 = 32,530/x
  3. Step 3: Cross multiply
    15,174x = 32,530 × 32,530
  4. Step 4: Simplify right side
    15,174x = 1,058,200,900
  5. Step 5: Solve for x
    x = 1,058,200,900/15,174
  6. Step 6: Final answer
    x = 69,737.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.