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Finding the Third Proportional to 32,162 and 49,465

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Solution

The third proportional to 32,162 and 49,465 is: 76,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162 : 49,465 = 49,465 : x
  2. Step 2: Convert to fraction form
    32,162/49,465 = 49,465/x
  3. Step 3: Cross multiply
    32,162x = 49,465 × 49,465
  4. Step 4: Simplify right side
    32,162x = 2,446,786,225
  5. Step 5: Solve for x
    x = 2,446,786,225/32,162
  6. Step 6: Final answer
    x = 76,076.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.