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Finding the Third Proportional to 30,883.78 and 67,431.55

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Solution

The third proportional to 30,883.78 and 67,431.55 is: 147,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.78 : 67,431.55 = 67,431.55 : x
  2. Step 2: Convert to fraction form
    30,883.78/67,431.55 = 67,431.55/x
  3. Step 3: Cross multiply
    30,883.78x = 67,431.55 × 67,431.55
  4. Step 4: Simplify right side
    30,883.78x = 4,547,014,040.76
  5. Step 5: Solve for x
    x = 4,547,014,040.76/30,883.78
  6. Step 6: Final answer
    x = 147,229.84

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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.