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Finding the Third Proportional to 35,342.25 and 76,220.25

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Solution

The third proportional to 35,342.25 and 76,220.25 is: 164,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342.25 : 76,220.25 = 76,220.25 : x
  2. Step 2: Convert to fraction form
    35,342.25/76,220.25 = 76,220.25/x
  3. Step 3: Cross multiply
    35,342.25x = 76,220.25 × 76,220.25
  4. Step 4: Simplify right side
    35,342.25x = 5,809,526,510.06
  5. Step 5: Solve for x
    x = 5,809,526,510.06/35,342.25
  6. Step 6: Final answer
    x = 164,379.08

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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.