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Finding the Third Proportional to 39,921 and 62,624.25

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Solution

The third proportional to 39,921 and 62,624.25 is: 98,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,921 : 62,624.25 = 62,624.25 : x
  2. Step 2: Convert to fraction form
    39,921/62,624.25 = 62,624.25/x
  3. Step 3: Cross multiply
    39,921x = 62,624.25 × 62,624.25
  4. Step 4: Simplify right side
    39,921x = 3,921,796,688.06
  5. Step 5: Solve for x
    x = 3,921,796,688.06/39,921
  6. Step 6: Final answer
    x = 98,238.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.