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Finding the Third Proportional to 41,012.63 and 58,647.75

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Solution

The third proportional to 41,012.63 and 58,647.75 is: 83,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,012.63 : 58,647.75 = 58,647.75 : x
  2. Step 2: Convert to fraction form
    41,012.63/58,647.75 = 58,647.75/x
  3. Step 3: Cross multiply
    41,012.63x = 58,647.75 × 58,647.75
  4. Step 4: Simplify right side
    41,012.63x = 3,439,558,580.06
  5. Step 5: Solve for x
    x = 3,439,558,580.06/41,012.63
  6. Step 6: Final answer
    x = 83,865.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.