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Finding the Third Proportional to 42,175.69 and 57,856.78

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Solution

The third proportional to 42,175.69 and 57,856.78 is: 79,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.69 : 57,856.78 = 57,856.78 : x
  2. Step 2: Convert to fraction form
    42,175.69/57,856.78 = 57,856.78/x
  3. Step 3: Cross multiply
    42,175.69x = 57,856.78 × 57,856.78
  4. Step 4: Simplify right side
    42,175.69x = 3,347,407,136.61
  5. Step 5: Solve for x
    x = 3,347,407,136.61/42,175.69
  6. Step 6: Final answer
    x = 79,368.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.