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Finding the Third Proportional to 10,048 and 15,184

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Solution

The third proportional to 10,048 and 15,184 is: 22,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 15,184 = 15,184 : x
  2. Step 2: Convert to fraction form
    10,048/15,184 = 15,184/x
  3. Step 3: Cross multiply
    10,048x = 15,184 × 15,184
  4. Step 4: Simplify right side
    10,048x = 230,553,856
  5. Step 5: Solve for x
    x = 230,553,856/10,048
  6. Step 6: Final answer
    x = 22,945.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.