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Finding the Third Proportional to 41,596.13 and 58,858.50

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Solution

The third proportional to 41,596.13 and 58,858.50 is: 83,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596.13 : 58,858.50 = 58,858.50 : x
  2. Step 2: Convert to fraction form
    41,596.13/58,858.50 = 58,858.50/x
  3. Step 3: Cross multiply
    41,596.13x = 58,858.50 × 58,858.50
  4. Step 4: Simplify right side
    41,596.13x = 3,464,323,022.25
  5. Step 5: Solve for x
    x = 3,464,323,022.25/41,596.13
  6. Step 6: Final answer
    x = 83,284.75

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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.