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Finding the Third Proportional to 40,784 and 61,739

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Solution

The third proportional to 40,784 and 61,739 is: 93,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784 : 61,739 = 61,739 : x
  2. Step 2: Convert to fraction form
    40,784/61,739 = 61,739/x
  3. Step 3: Cross multiply
    40,784x = 61,739 × 61,739
  4. Step 4: Simplify right side
    40,784x = 3,811,704,121
  5. Step 5: Solve for x
    x = 3,811,704,121/40,784
  6. Step 6: Final answer
    x = 93,460.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.