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Finding the Third Proportional to 35,857.50 and 77,331

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Solution

The third proportional to 35,857.50 and 77,331 is: 166,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.50 : 77,331 = 77,331 : x
  2. Step 2: Convert to fraction form
    35,857.50/77,331 = 77,331/x
  3. Step 3: Cross multiply
    35,857.50x = 77,331 × 77,331
  4. Step 4: Simplify right side
    35,857.50x = 5,980,083,561
  5. Step 5: Solve for x
    x = 5,980,083,561/35,857.50
  6. Step 6: Final answer
    x = 166,773.58

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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.