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Finding the Third Proportional to 39,010 and 62,821

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Solution

The third proportional to 39,010 and 62,821 is: 101,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,010 : 62,821 = 62,821 : x
  2. Step 2: Convert to fraction form
    39,010/62,821 = 62,821/x
  3. Step 3: Cross multiply
    39,010x = 62,821 × 62,821
  4. Step 4: Simplify right side
    39,010x = 3,946,478,041
  5. Step 5: Solve for x
    x = 3,946,478,041/39,010
  6. Step 6: Final answer
    x = 101,165.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.