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Finding the Third Proportional to 41,509.50 and 58,246.50

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Solution

The third proportional to 41,509.50 and 58,246.50 is: 81,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.50 : 58,246.50 = 58,246.50 : x
  2. Step 2: Convert to fraction form
    41,509.50/58,246.50 = 58,246.50/x
  3. Step 3: Cross multiply
    41,509.50x = 58,246.50 × 58,246.50
  4. Step 4: Simplify right side
    41,509.50x = 3,392,654,762.25
  5. Step 5: Solve for x
    x = 3,392,654,762.25/41,509.50
  6. Step 6: Final answer
    x = 81,732.01

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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.