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Finding the Third Proportional to 24,577.50 and 36,891

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Solution

The third proportional to 24,577.50 and 36,891 is: 55,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.50 : 36,891 = 36,891 : x
  2. Step 2: Convert to fraction form
    24,577.50/36,891 = 36,891/x
  3. Step 3: Cross multiply
    24,577.50x = 36,891 × 36,891
  4. Step 4: Simplify right side
    24,577.50x = 1,360,945,881
  5. Step 5: Solve for x
    x = 1,360,945,881/24,577.50
  6. Step 6: Final answer
    x = 55,373.65

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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.