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Finding the Third Proportional to 34,837 and 75,262

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Solution

The third proportional to 34,837 and 75,262 is: 162,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,837 : 75,262 = 75,262 : x
  2. Step 2: Convert to fraction form
    34,837/75,262 = 75,262/x
  3. Step 3: Cross multiply
    34,837x = 75,262 × 75,262
  4. Step 4: Simplify right side
    34,837x = 5,664,368,644
  5. Step 5: Solve for x
    x = 5,664,368,644/34,837
  6. Step 6: Final answer
    x = 162,596.34

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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.