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Finding the Third Proportional to 35,883.50 and 77,251

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Solution

The third proportional to 35,883.50 and 77,251 is: 166,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.50 : 77,251 = 77,251 : x
  2. Step 2: Convert to fraction form
    35,883.50/77,251 = 77,251/x
  3. Step 3: Cross multiply
    35,883.50x = 77,251 × 77,251
  4. Step 4: Simplify right side
    35,883.50x = 5,967,717,001
  5. Step 5: Solve for x
    x = 5,967,717,001/35,883.50
  6. Step 6: Final answer
    x = 166,308.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.