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Finding the Third Proportional to 35,186 and 51,625

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Solution

The third proportional to 35,186 and 51,625 is: 75,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,186 : 51,625 = 51,625 : x
  2. Step 2: Convert to fraction form
    35,186/51,625 = 51,625/x
  3. Step 3: Cross multiply
    35,186x = 51,625 × 51,625
  4. Step 4: Simplify right side
    35,186x = 2,665,140,625
  5. Step 5: Solve for x
    x = 2,665,140,625/35,186
  6. Step 6: Final answer
    x = 75,744.35

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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.