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Finding the Third Proportional to 14,337 and 33,507

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Solution

The third proportional to 14,337 and 33,507 is: 78,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 33,507 = 33,507 : x
  2. Step 2: Convert to fraction form
    14,337/33,507 = 33,507/x
  3. Step 3: Cross multiply
    14,337x = 33,507 × 33,507
  4. Step 4: Simplify right side
    14,337x = 1,122,719,049
  5. Step 5: Solve for x
    x = 1,122,719,049/14,337
  6. Step 6: Final answer
    x = 78,309.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.