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Finding the Third Proportional to 30,648.50 and 67,039

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Solution

The third proportional to 30,648.50 and 67,039 is: 146,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.50 : 67,039 = 67,039 : x
  2. Step 2: Convert to fraction form
    30,648.50/67,039 = 67,039/x
  3. Step 3: Cross multiply
    30,648.50x = 67,039 × 67,039
  4. Step 4: Simplify right side
    30,648.50x = 4,494,227,521
  5. Step 5: Solve for x
    x = 4,494,227,521/30,648.50
  6. Step 6: Final answer
    x = 146,637.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.