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Finding the Third Proportional to 23,264 and 25,184

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Solution

The third proportional to 23,264 and 25,184 is: 27,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264 : 25,184 = 25,184 : x
  2. Step 2: Convert to fraction form
    23,264/25,184 = 25,184/x
  3. Step 3: Cross multiply
    23,264x = 25,184 × 25,184
  4. Step 4: Simplify right side
    23,264x = 634,233,856
  5. Step 5: Solve for x
    x = 634,233,856/23,264
  6. Step 6: Final answer
    x = 27,262.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.