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Finding the Third Proportional to 11,566.50 and 25,721

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Solution

The third proportional to 11,566.50 and 25,721 is: 57,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.50 : 25,721 = 25,721 : x
  2. Step 2: Convert to fraction form
    11,566.50/25,721 = 25,721/x
  3. Step 3: Cross multiply
    11,566.50x = 25,721 × 25,721
  4. Step 4: Simplify right side
    11,566.50x = 661,569,841
  5. Step 5: Solve for x
    x = 661,569,841/11,566.50
  6. Step 6: Final answer
    x = 57,197.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.