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Finding the Third Proportional to 5,464 and 11,486

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Solution

The third proportional to 5,464 and 11,486 is: 24,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 11,486 = 11,486 : x
  2. Step 2: Convert to fraction form
    5,464/11,486 = 11,486/x
  3. Step 3: Cross multiply
    5,464x = 11,486 × 11,486
  4. Step 4: Simplify right side
    5,464x = 131,928,196
  5. Step 5: Solve for x
    x = 131,928,196/5,464
  6. Step 6: Final answer
    x = 24,144.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.