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Finding the Third Proportional to 31,665.94 and 67,219.88

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Solution

The third proportional to 31,665.94 and 67,219.88 is: 142,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.94 : 67,219.88 = 67,219.88 : x
  2. Step 2: Convert to fraction form
    31,665.94/67,219.88 = 67,219.88/x
  3. Step 3: Cross multiply
    31,665.94x = 67,219.88 × 67,219.88
  4. Step 4: Simplify right side
    31,665.94x = 4,518,511,595.02
  5. Step 5: Solve for x
    x = 4,518,511,595.02/31,665.94
  6. Step 6: Final answer
    x = 142,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.