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Finding the Third Proportional to 22,963.50 and 34,749

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Solution

The third proportional to 22,963.50 and 34,749 is: 52,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 34,749 = 34,749 : x
  2. Step 2: Convert to fraction form
    22,963.50/34,749 = 34,749/x
  3. Step 3: Cross multiply
    22,963.50x = 34,749 × 34,749
  4. Step 4: Simplify right side
    22,963.50x = 1,207,493,001
  5. Step 5: Solve for x
    x = 1,207,493,001/22,963.50
  6. Step 6: Final answer
    x = 52,583.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.