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Finding the Third Proportional to 41,761.83 and 87,624.28

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Solution

The third proportional to 41,761.83 and 87,624.28 is: 183,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,761.83 : 87,624.28 = 87,624.28 : x
  2. Step 2: Convert to fraction form
    41,761.83/87,624.28 = 87,624.28/x
  3. Step 3: Cross multiply
    41,761.83x = 87,624.28 × 87,624.28
  4. Step 4: Simplify right side
    41,761.83x = 7,678,014,664.58
  5. Step 5: Solve for x
    x = 7,678,014,664.58/41,761.83
  6. Step 6: Final answer
    x = 183,852.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.