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Finding the Third Proportional to 41,602.88 and 58,866.75

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Solution

The third proportional to 41,602.88 and 58,866.75 is: 83,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602.88 : 58,866.75 = 58,866.75 : x
  2. Step 2: Convert to fraction form
    41,602.88/58,866.75 = 58,866.75/x
  3. Step 3: Cross multiply
    41,602.88x = 58,866.75 × 58,866.75
  4. Step 4: Simplify right side
    41,602.88x = 3,465,294,255.56
  5. Step 5: Solve for x
    x = 3,465,294,255.56/41,602.88
  6. Step 6: Final answer
    x = 83,294.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.