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Finding the Third Proportional to 41,955 and 58,660.50

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Solution

The third proportional to 41,955 and 58,660.50 is: 82,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,955 : 58,660.50 = 58,660.50 : x
  2. Step 2: Convert to fraction form
    41,955/58,660.50 = 58,660.50/x
  3. Step 3: Cross multiply
    41,955x = 58,660.50 × 58,660.50
  4. Step 4: Simplify right side
    41,955x = 3,441,054,260.25
  5. Step 5: Solve for x
    x = 3,441,054,260.25/41,955
  6. Step 6: Final answer
    x = 82,017.74

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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.