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Finding the Third Proportional to 35,188 and 52,606

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Solution

The third proportional to 35,188 and 52,606 is: 78,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188 : 52,606 = 52,606 : x
  2. Step 2: Convert to fraction form
    35,188/52,606 = 52,606/x
  3. Step 3: Cross multiply
    35,188x = 52,606 × 52,606
  4. Step 4: Simplify right side
    35,188x = 2,767,391,236
  5. Step 5: Solve for x
    x = 2,767,391,236/35,188
  6. Step 6: Final answer
    x = 78,645.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.