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Finding the Third Proportional to 23,350.50 and 51,609

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Solution

The third proportional to 23,350.50 and 51,609 is: 114,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.50 : 51,609 = 51,609 : x
  2. Step 2: Convert to fraction form
    23,350.50/51,609 = 51,609/x
  3. Step 3: Cross multiply
    23,350.50x = 51,609 × 51,609
  4. Step 4: Simplify right side
    23,350.50x = 2,663,488,881
  5. Step 5: Solve for x
    x = 2,663,488,881/23,350.50
  6. Step 6: Final answer
    x = 114,065.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.