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Finding the Third Proportional to 30,583.69 and 67,181.63

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Solution

The third proportional to 30,583.69 and 67,181.63 is: 147,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.69 : 67,181.63 = 67,181.63 : x
  2. Step 2: Convert to fraction form
    30,583.69/67,181.63 = 67,181.63/x
  3. Step 3: Cross multiply
    30,583.69x = 67,181.63 × 67,181.63
  4. Step 4: Simplify right side
    30,583.69x = 4,513,370,737.64
  5. Step 5: Solve for x
    x = 4,513,370,737.64/30,583.69
  6. Step 6: Final answer
    x = 147,574.45

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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.