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Finding the Third Proportional to 35,336 and 76,408

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Solution

The third proportional to 35,336 and 76,408 is: 165,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,336 : 76,408 = 76,408 : x
  2. Step 2: Convert to fraction form
    35,336/76,408 = 76,408/x
  3. Step 3: Cross multiply
    35,336x = 76,408 × 76,408
  4. Step 4: Simplify right side
    35,336x = 5,838,182,464
  5. Step 5: Solve for x
    x = 5,838,182,464/35,336
  6. Step 6: Final answer
    x = 165,219.11

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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.