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Finding the Third Proportional to 6,163 and 13,298

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Solution

The third proportional to 6,163 and 13,298 is: 28,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163 : 13,298 = 13,298 : x
  2. Step 2: Convert to fraction form
    6,163/13,298 = 13,298/x
  3. Step 3: Cross multiply
    6,163x = 13,298 × 13,298
  4. Step 4: Simplify right side
    6,163x = 176,836,804
  5. Step 5: Solve for x
    x = 176,836,804/6,163
  6. Step 6: Final answer
    x = 28,693.30

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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.