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Finding the Third Proportional to 40,338 and 64,074

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Solution

The third proportional to 40,338 and 64,074 is: 101,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,338 : 64,074 = 64,074 : x
  2. Step 2: Convert to fraction form
    40,338/64,074 = 64,074/x
  3. Step 3: Cross multiply
    40,338x = 64,074 × 64,074
  4. Step 4: Simplify right side
    40,338x = 4,105,477,476
  5. Step 5: Solve for x
    x = 4,105,477,476/40,338
  6. Step 6: Final answer
    x = 101,776.92

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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.