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Finding the Third Proportional to 39,821 and 61,119

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Solution

The third proportional to 39,821 and 61,119 is: 93,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821 : 61,119 = 61,119 : x
  2. Step 2: Convert to fraction form
    39,821/61,119 = 61,119/x
  3. Step 3: Cross multiply
    39,821x = 61,119 × 61,119
  4. Step 4: Simplify right side
    39,821x = 3,735,532,161
  5. Step 5: Solve for x
    x = 3,735,532,161/39,821
  6. Step 6: Final answer
    x = 93,808.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.