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Finding the Third Proportional to 42,634.69 and 66,199.78

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Solution

The third proportional to 42,634.69 and 66,199.78 is: 102,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634.69 : 66,199.78 = 66,199.78 : x
  2. Step 2: Convert to fraction form
    42,634.69/66,199.78 = 66,199.78/x
  3. Step 3: Cross multiply
    42,634.69x = 66,199.78 × 66,199.78
  4. Step 4: Simplify right side
    42,634.69x = 4,382,411,037.55
  5. Step 5: Solve for x
    x = 4,382,411,037.55/42,634.69
  6. Step 6: Final answer
    x = 102,789.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.