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Finding the Third Proportional to 21,910.91 and 47,324.98

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Solution

The third proportional to 21,910.91 and 47,324.98 is: 102,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.91 : 47,324.98 = 47,324.98 : x
  2. Step 2: Convert to fraction form
    21,910.91/47,324.98 = 47,324.98/x
  3. Step 3: Cross multiply
    21,910.91x = 47,324.98 × 47,324.98
  4. Step 4: Simplify right side
    21,910.91x = 2,239,653,423.97
  5. Step 5: Solve for x
    x = 2,239,653,423.97/21,910.91
  6. Step 6: Final answer
    x = 102,216.35

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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.