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Finding the Third Proportional to 32,590 and 49,163

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Solution

The third proportional to 32,590 and 49,163 is: 74,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590 : 49,163 = 49,163 : x
  2. Step 2: Convert to fraction form
    32,590/49,163 = 49,163/x
  3. Step 3: Cross multiply
    32,590x = 49,163 × 49,163
  4. Step 4: Simplify right side
    32,590x = 2,417,000,569
  5. Step 5: Solve for x
    x = 2,417,000,569/32,590
  6. Step 6: Final answer
    x = 74,163.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.