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Finding the Third Proportional to 23,129.50 and 34,601

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Solution

The third proportional to 23,129.50 and 34,601 is: 51,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.50 : 34,601 = 34,601 : x
  2. Step 2: Convert to fraction form
    23,129.50/34,601 = 34,601/x
  3. Step 3: Cross multiply
    23,129.50x = 34,601 × 34,601
  4. Step 4: Simplify right side
    23,129.50x = 1,197,229,201
  5. Step 5: Solve for x
    x = 1,197,229,201/23,129.50
  6. Step 6: Final answer
    x = 51,762.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.