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Finding the Third Proportional to 32,730.75 and 49,096.13

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Solution

The third proportional to 32,730.75 and 49,096.13 is: 73,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.75 : 49,096.13 = 49,096.13 : x
  2. Step 2: Convert to fraction form
    32,730.75/49,096.13 = 49,096.13/x
  3. Step 3: Cross multiply
    32,730.75x = 49,096.13 × 49,096.13
  4. Step 4: Simplify right side
    32,730.75x = 2,410,429,490.02
  5. Step 5: Solve for x
    x = 2,410,429,490.02/32,730.75
  6. Step 6: Final answer
    x = 73,644.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.