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Finding the Third Proportional to 21,864 and 47,184

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Solution

The third proportional to 21,864 and 47,184 is: 101,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 47,184 = 47,184 : x
  2. Step 2: Convert to fraction form
    21,864/47,184 = 47,184/x
  3. Step 3: Cross multiply
    21,864x = 47,184 × 47,184
  4. Step 4: Simplify right side
    21,864x = 2,226,329,856
  5. Step 5: Solve for x
    x = 2,226,329,856/21,864
  6. Step 6: Final answer
    x = 101,826.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.