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Finding the Third Proportional to 40,740 and 64,826

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Solution

The third proportional to 40,740 and 64,826 is: 103,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,740 : 64,826 = 64,826 : x
  2. Step 2: Convert to fraction form
    40,740/64,826 = 64,826/x
  3. Step 3: Cross multiply
    40,740x = 64,826 × 64,826
  4. Step 4: Simplify right side
    40,740x = 4,202,410,276
  5. Step 5: Solve for x
    x = 4,202,410,276/40,740
  6. Step 6: Final answer
    x = 103,151.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.