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Finding the Third Proportional to 35,192 and 51,634

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Solution

The third proportional to 35,192 and 51,634 is: 75,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,192 : 51,634 = 51,634 : x
  2. Step 2: Convert to fraction form
    35,192/51,634 = 51,634/x
  3. Step 3: Cross multiply
    35,192x = 51,634 × 51,634
  4. Step 4: Simplify right side
    35,192x = 2,666,069,956
  5. Step 5: Solve for x
    x = 2,666,069,956/35,192
  6. Step 6: Final answer
    x = 75,757.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.