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Finding the Third Proportional to 5,240 and 11,348

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Solution

The third proportional to 5,240 and 11,348 is: 24,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 11,348 = 11,348 : x
  2. Step 2: Convert to fraction form
    5,240/11,348 = 11,348/x
  3. Step 3: Cross multiply
    5,240x = 11,348 × 11,348
  4. Step 4: Simplify right side
    5,240x = 128,777,104
  5. Step 5: Solve for x
    x = 128,777,104/5,240
  6. Step 6: Final answer
    x = 24,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.