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Finding the Third Proportional to 22,609.50 and 49,111

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Solution

The third proportional to 22,609.50 and 49,111 is: 106,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.50 : 49,111 = 49,111 : x
  2. Step 2: Convert to fraction form
    22,609.50/49,111 = 49,111/x
  3. Step 3: Cross multiply
    22,609.50x = 49,111 × 49,111
  4. Step 4: Simplify right side
    22,609.50x = 2,411,890,321
  5. Step 5: Solve for x
    x = 2,411,890,321/22,609.50
  6. Step 6: Final answer
    x = 106,675.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.