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Finding the Third Proportional to 13,569 and 28,533

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Solution

The third proportional to 13,569 and 28,533 is: 59,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569 : 28,533 = 28,533 : x
  2. Step 2: Convert to fraction form
    13,569/28,533 = 28,533/x
  3. Step 3: Cross multiply
    13,569x = 28,533 × 28,533
  4. Step 4: Simplify right side
    13,569x = 814,132,089
  5. Step 5: Solve for x
    x = 814,132,089/13,569
  6. Step 6: Final answer
    x = 59,999.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.