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Finding the Third Proportional to 30,885 and 67,433.50

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Solution

The third proportional to 30,885 and 67,433.50 is: 147,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885 : 67,433.50 = 67,433.50 : x
  2. Step 2: Convert to fraction form
    30,885/67,433.50 = 67,433.50/x
  3. Step 3: Cross multiply
    30,885x = 67,433.50 × 67,433.50
  4. Step 4: Simplify right side
    30,885x = 4,547,276,922.25
  5. Step 5: Solve for x
    x = 4,547,276,922.25/30,885
  6. Step 6: Final answer
    x = 147,232.54

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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.