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Finding the Third Proportional to 5,295 and 11,307

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Solution

The third proportional to 5,295 and 11,307 is: 24,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295 : 11,307 = 11,307 : x
  2. Step 2: Convert to fraction form
    5,295/11,307 = 11,307/x
  3. Step 3: Cross multiply
    5,295x = 11,307 × 11,307
  4. Step 4: Simplify right side
    5,295x = 127,848,249
  5. Step 5: Solve for x
    x = 127,848,249/5,295
  6. Step 6: Final answer
    x = 24,145.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.