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Finding the Third Proportional to 35,710.88 and 77,982.75

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Solution

The third proportional to 35,710.88 and 77,982.75 is: 170,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.88 : 77,982.75 = 77,982.75 : x
  2. Step 2: Convert to fraction form
    35,710.88/77,982.75 = 77,982.75/x
  3. Step 3: Cross multiply
    35,710.88x = 77,982.75 × 77,982.75
  4. Step 4: Simplify right side
    35,710.88x = 6,081,309,297.56
  5. Step 5: Solve for x
    x = 6,081,309,297.56/35,710.88
  6. Step 6: Final answer
    x = 170,292.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.