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Finding the Third Proportional to 30,928 and 67,526

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Solution

The third proportional to 30,928 and 67,526 is: 147,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928 : 67,526 = 67,526 : x
  2. Step 2: Convert to fraction form
    30,928/67,526 = 67,526/x
  3. Step 3: Cross multiply
    30,928x = 67,526 × 67,526
  4. Step 4: Simplify right side
    30,928x = 4,559,760,676
  5. Step 5: Solve for x
    x = 4,559,760,676/30,928
  6. Step 6: Final answer
    x = 147,431.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.