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Finding the Third Proportional to 15,401 and 33,583

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Solution

The third proportional to 15,401 and 33,583 is: 73,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,401 : 33,583 = 33,583 : x
  2. Step 2: Convert to fraction form
    15,401/33,583 = 33,583/x
  3. Step 3: Cross multiply
    15,401x = 33,583 × 33,583
  4. Step 4: Simplify right side
    15,401x = 1,127,817,889
  5. Step 5: Solve for x
    x = 1,127,817,889/15,401
  6. Step 6: Final answer
    x = 73,230.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.