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Finding the Third Proportional to 41,850 and 58,532.63

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Solution

The third proportional to 41,850 and 58,532.63 is: 81,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 58,532.63 = 58,532.63 : x
  2. Step 2: Convert to fraction form
    41,850/58,532.63 = 58,532.63/x
  3. Step 3: Cross multiply
    41,850x = 58,532.63 × 58,532.63
  4. Step 4: Simplify right side
    41,850x = 3,426,068,189.39
  5. Step 5: Solve for x
    x = 3,426,068,189.39/41,850
  6. Step 6: Final answer
    x = 81,865.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.