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Finding the Third Proportional to 32,811 and 49,246.50

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Solution

The third proportional to 32,811 and 49,246.50 is: 73,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811 : 49,246.50 = 49,246.50 : x
  2. Step 2: Convert to fraction form
    32,811/49,246.50 = 49,246.50/x
  3. Step 3: Cross multiply
    32,811x = 49,246.50 × 49,246.50
  4. Step 4: Simplify right side
    32,811x = 2,425,217,762.25
  5. Step 5: Solve for x
    x = 2,425,217,762.25/32,811
  6. Step 6: Final answer
    x = 73,914.78

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Why These Related Problems?

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