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Finding the Third Proportional to 32,246.69 and 48,856.88

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Solution

The third proportional to 32,246.69 and 48,856.88 is: 74,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,246.69 : 48,856.88 = 48,856.88 : x
  2. Step 2: Convert to fraction form
    32,246.69/48,856.88 = 48,856.88/x
  3. Step 3: Cross multiply
    32,246.69x = 48,856.88 × 48,856.88
  4. Step 4: Simplify right side
    32,246.69x = 2,386,994,234.77
  5. Step 5: Solve for x
    x = 2,386,994,234.77/32,246.69
  6. Step 6: Final answer
    x = 74,022.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.