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Finding the Third Proportional to 7,269 and 15,701

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Solution

The third proportional to 7,269 and 15,701 is: 33,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 15,701 = 15,701 : x
  2. Step 2: Convert to fraction form
    7,269/15,701 = 15,701/x
  3. Step 3: Cross multiply
    7,269x = 15,701 × 15,701
  4. Step 4: Simplify right side
    7,269x = 246,521,401
  5. Step 5: Solve for x
    x = 246,521,401/7,269
  6. Step 6: Final answer
    x = 33,914.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.