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Finding the Third Proportional to 35,750.25 and 77,042.25

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Solution

The third proportional to 35,750.25 and 77,042.25 is: 166,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750.25 : 77,042.25 = 77,042.25 : x
  2. Step 2: Convert to fraction form
    35,750.25/77,042.25 = 77,042.25/x
  3. Step 3: Cross multiply
    35,750.25x = 77,042.25 × 77,042.25
  4. Step 4: Simplify right side
    35,750.25x = 5,935,508,285.06
  5. Step 5: Solve for x
    x = 5,935,508,285.06/35,750.25
  6. Step 6: Final answer
    x = 166,027.04

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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.