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Finding the Third Proportional to 32,006 and 49,821

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Solution

The third proportional to 32,006 and 49,821 is: 77,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006 : 49,821 = 49,821 : x
  2. Step 2: Convert to fraction form
    32,006/49,821 = 49,821/x
  3. Step 3: Cross multiply
    32,006x = 49,821 × 49,821
  4. Step 4: Simplify right side
    32,006x = 2,482,132,041
  5. Step 5: Solve for x
    x = 2,482,132,041/32,006
  6. Step 6: Final answer
    x = 77,552.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.