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Finding the Third Proportional to 39,400.17 and 84,324.80

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Solution

The third proportional to 39,400.17 and 84,324.80 is: 180,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400.17 : 84,324.80 = 84,324.80 : x
  2. Step 2: Convert to fraction form
    39,400.17/84,324.80 = 84,324.80/x
  3. Step 3: Cross multiply
    39,400.17x = 84,324.80 × 84,324.80
  4. Step 4: Simplify right side
    39,400.17x = 7,110,671,368.01
  5. Step 5: Solve for x
    x = 7,110,671,368.01/39,400.17
  6. Step 6: Final answer
    x = 180,473.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.