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Finding the Third Proportional to 5,293 and 6,961

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Solution

The third proportional to 5,293 and 6,961 is: 9,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293 : 6,961 = 6,961 : x
  2. Step 2: Convert to fraction form
    5,293/6,961 = 6,961/x
  3. Step 3: Cross multiply
    5,293x = 6,961 × 6,961
  4. Step 4: Simplify right side
    5,293x = 48,455,521
  5. Step 5: Solve for x
    x = 48,455,521/5,293
  6. Step 6: Final answer
    x = 9,154.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.