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Finding the Third Proportional to 2,148 and 5,298

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Solution

The third proportional to 2,148 and 5,298 is: 13,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 5,298 = 5,298 : x
  2. Step 2: Convert to fraction form
    2,148/5,298 = 5,298/x
  3. Step 3: Cross multiply
    2,148x = 5,298 × 5,298
  4. Step 4: Simplify right side
    2,148x = 28,068,804
  5. Step 5: Solve for x
    x = 28,068,804/2,148
  6. Step 6: Final answer
    x = 13,067.41

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.