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Finding the Third Proportional to 39,683.99 and 61,472.36

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Solution

The third proportional to 39,683.99 and 61,472.36 is: 95,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,683.99 : 61,472.36 = 61,472.36 : x
  2. Step 2: Convert to fraction form
    39,683.99/61,472.36 = 61,472.36/x
  3. Step 3: Cross multiply
    39,683.99x = 61,472.36 × 61,472.36
  4. Step 4: Simplify right side
    39,683.99x = 3,778,850,486.88
  5. Step 5: Solve for x
    x = 3,778,850,486.88/39,683.99
  6. Step 6: Final answer
    x = 95,223.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.