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Finding the Third Proportional to 34,840 and 67,928

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Solution

The third proportional to 34,840 and 67,928 is: 132,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,840 : 67,928 = 67,928 : x
  2. Step 2: Convert to fraction form
    34,840/67,928 = 67,928/x
  3. Step 3: Cross multiply
    34,840x = 67,928 × 67,928
  4. Step 4: Simplify right side
    34,840x = 4,614,213,184
  5. Step 5: Solve for x
    x = 4,614,213,184/34,840
  6. Step 6: Final answer
    x = 132,440.10

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.