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Finding the Third Proportional to 30,876.61 and 66,434.34

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Solution

The third proportional to 30,876.61 and 66,434.34 is: 142,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.61 : 66,434.34 = 66,434.34 : x
  2. Step 2: Convert to fraction form
    30,876.61/66,434.34 = 66,434.34/x
  3. Step 3: Cross multiply
    30,876.61x = 66,434.34 × 66,434.34
  4. Step 4: Simplify right side
    30,876.61x = 4,413,522,029.49
  5. Step 5: Solve for x
    x = 4,413,522,029.49/30,876.61
  6. Step 6: Final answer
    x = 142,940.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.