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Finding the Third Proportional to 5,000.50 and 11,577

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Solution

The third proportional to 5,000.50 and 11,577 is: 26,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.50 : 11,577 = 11,577 : x
  2. Step 2: Convert to fraction form
    5,000.50/11,577 = 11,577/x
  3. Step 3: Cross multiply
    5,000.50x = 11,577 × 11,577
  4. Step 4: Simplify right side
    5,000.50x = 134,026,929
  5. Step 5: Solve for x
    x = 134,026,929/5,000.50
  6. Step 6: Final answer
    x = 26,802.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.