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Finding the Third Proportional to 26,715 and 37,972.50

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Solution

The third proportional to 26,715 and 37,972.50 is: 53,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,715 : 37,972.50 = 37,972.50 : x
  2. Step 2: Convert to fraction form
    26,715/37,972.50 = 37,972.50/x
  3. Step 3: Cross multiply
    26,715x = 37,972.50 × 37,972.50
  4. Step 4: Simplify right side
    26,715x = 1,441,910,756.25
  5. Step 5: Solve for x
    x = 1,441,910,756.25/26,715
  6. Step 6: Final answer
    x = 53,973.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.