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Finding the Third Proportional to 30,449.06 and 66,431.34

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Solution

The third proportional to 30,449.06 and 66,431.34 is: 144,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.06 : 66,431.34 = 66,431.34 : x
  2. Step 2: Convert to fraction form
    30,449.06/66,431.34 = 66,431.34/x
  3. Step 3: Cross multiply
    30,449.06x = 66,431.34 × 66,431.34
  4. Step 4: Simplify right side
    30,449.06x = 4,413,123,432.43
  5. Step 5: Solve for x
    x = 4,413,123,432.43/30,449.06
  6. Step 6: Final answer
    x = 144,934.62

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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.