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Finding the Third Proportional to 35,195.50 and 76,952

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Solution

The third proportional to 35,195.50 and 76,952 is: 168,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,195.50 : 76,952 = 76,952 : x
  2. Step 2: Convert to fraction form
    35,195.50/76,952 = 76,952/x
  3. Step 3: Cross multiply
    35,195.50x = 76,952 × 76,952
  4. Step 4: Simplify right side
    35,195.50x = 5,921,610,304
  5. Step 5: Solve for x
    x = 5,921,610,304/35,195.50
  6. Step 6: Final answer
    x = 168,249.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.