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Finding the Third Proportional to 21,826.50 and 47,217

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Solution

The third proportional to 21,826.50 and 47,217 is: 102,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.50 : 47,217 = 47,217 : x
  2. Step 2: Convert to fraction form
    21,826.50/47,217 = 47,217/x
  3. Step 3: Cross multiply
    21,826.50x = 47,217 × 47,217
  4. Step 4: Simplify right side
    21,826.50x = 2,229,445,089
  5. Step 5: Solve for x
    x = 2,229,445,089/21,826.50
  6. Step 6: Final answer
    x = 102,143.96

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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.