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Finding the Third Proportional to 32,811 and 48,123

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Solution

The third proportional to 32,811 and 48,123 is: 70,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811 : 48,123 = 48,123 : x
  2. Step 2: Convert to fraction form
    32,811/48,123 = 48,123/x
  3. Step 3: Cross multiply
    32,811x = 48,123 × 48,123
  4. Step 4: Simplify right side
    32,811x = 2,315,823,129
  5. Step 5: Solve for x
    x = 2,315,823,129/32,811
  6. Step 6: Final answer
    x = 70,580.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.