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Finding the Third Proportional to 13,357 and 28,567

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Solution

The third proportional to 13,357 and 28,567 is: 61,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357 : 28,567 = 28,567 : x
  2. Step 2: Convert to fraction form
    13,357/28,567 = 28,567/x
  3. Step 3: Cross multiply
    13,357x = 28,567 × 28,567
  4. Step 4: Simplify right side
    13,357x = 816,073,489
  5. Step 5: Solve for x
    x = 816,073,489/13,357
  6. Step 6: Final answer
    x = 61,097.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.