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Finding the Third Proportional to 15,724 and 33,604

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Solution

The third proportional to 15,724 and 33,604 is: 71,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 33,604 = 33,604 : x
  2. Step 2: Convert to fraction form
    15,724/33,604 = 33,604/x
  3. Step 3: Cross multiply
    15,724x = 33,604 × 33,604
  4. Step 4: Simplify right side
    15,724x = 1,129,228,816
  5. Step 5: Solve for x
    x = 1,129,228,816/15,724
  6. Step 6: Final answer
    x = 71,815.62

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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.