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Finding the Third Proportional to 26,817 and 44,437.50

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Solution

The third proportional to 26,817 and 44,437.50 is: 73,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817 : 44,437.50 = 44,437.50 : x
  2. Step 2: Convert to fraction form
    26,817/44,437.50 = 44,437.50/x
  3. Step 3: Cross multiply
    26,817x = 44,437.50 × 44,437.50
  4. Step 4: Simplify right side
    26,817x = 1,974,691,406.25
  5. Step 5: Solve for x
    x = 1,974,691,406.25/26,817
  6. Step 6: Final answer
    x = 73,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.