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Finding the Third Proportional to 15,163 and 23,564

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Solution

The third proportional to 15,163 and 23,564 is: 36,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163 : 23,564 = 23,564 : x
  2. Step 2: Convert to fraction form
    15,163/23,564 = 23,564/x
  3. Step 3: Cross multiply
    15,163x = 23,564 × 23,564
  4. Step 4: Simplify right side
    15,163x = 555,262,096
  5. Step 5: Solve for x
    x = 555,262,096/15,163
  6. Step 6: Final answer
    x = 36,619.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.