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Finding the Third Proportional to 5,366 and 13,046

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Solution

The third proportional to 5,366 and 13,046 is: 31,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366 : 13,046 = 13,046 : x
  2. Step 2: Convert to fraction form
    5,366/13,046 = 13,046/x
  3. Step 3: Cross multiply
    5,366x = 13,046 × 13,046
  4. Step 4: Simplify right side
    5,366x = 170,198,116
  5. Step 5: Solve for x
    x = 170,198,116/5,366
  6. Step 6: Final answer
    x = 31,717.87

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.