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Finding the Third Proportional to 30,582.56 and 67,179.38

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Solution

The third proportional to 30,582.56 and 67,179.38 is: 147,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.56 : 67,179.38 = 67,179.38 : x
  2. Step 2: Convert to fraction form
    30,582.56/67,179.38 = 67,179.38/x
  3. Step 3: Cross multiply
    30,582.56x = 67,179.38 × 67,179.38
  4. Step 4: Simplify right side
    30,582.56x = 4,513,068,425.39
  5. Step 5: Solve for x
    x = 4,513,068,425.39/30,582.56
  6. Step 6: Final answer
    x = 147,569.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.