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Finding the Third Proportional to 35,331.38 and 76,202.06

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Solution

The third proportional to 35,331.38 and 76,202.06 is: 164,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,331.38 : 76,202.06 = 76,202.06 : x
  2. Step 2: Convert to fraction form
    35,331.38/76,202.06 = 76,202.06/x
  3. Step 3: Cross multiply
    35,331.38x = 76,202.06 × 76,202.06
  4. Step 4: Simplify right side
    35,331.38x = 5,806,754,329.25
  5. Step 5: Solve for x
    x = 5,806,754,329.25/35,331.38
  6. Step 6: Final answer
    x = 164,351.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.