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Finding the Third Proportional to 43,473.38 and 66,123

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Solution

The third proportional to 43,473.38 and 66,123 is: 100,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,473.38 : 66,123 = 66,123 : x
  2. Step 2: Convert to fraction form
    43,473.38/66,123 = 66,123/x
  3. Step 3: Cross multiply
    43,473.38x = 66,123 × 66,123
  4. Step 4: Simplify right side
    43,473.38x = 4,372,251,129
  5. Step 5: Solve for x
    x = 4,372,251,129/43,473.38
  6. Step 6: Final answer
    x = 100,573.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.