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Finding the Third Proportional to 5,298 and 11,388

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Solution

The third proportional to 5,298 and 11,388 is: 24,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 11,388 = 11,388 : x
  2. Step 2: Convert to fraction form
    5,298/11,388 = 11,388/x
  3. Step 3: Cross multiply
    5,298x = 11,388 × 11,388
  4. Step 4: Simplify right side
    5,298x = 129,686,544
  5. Step 5: Solve for x
    x = 129,686,544/5,298
  6. Step 6: Final answer
    x = 24,478.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.