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Finding the Third Proportional to 5,642 and 13,337

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Solution

The third proportional to 5,642 and 13,337 is: 31,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 13,337 = 13,337 : x
  2. Step 2: Convert to fraction form
    5,642/13,337 = 13,337/x
  3. Step 3: Cross multiply
    5,642x = 13,337 × 13,337
  4. Step 4: Simplify right side
    5,642x = 177,875,569
  5. Step 5: Solve for x
    x = 177,875,569/5,642
  6. Step 6: Final answer
    x = 31,527.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.