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Finding the Third Proportional to 5,401 and 7,297

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Solution

The third proportional to 5,401 and 7,297 is: 9,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 7,297 = 7,297 : x
  2. Step 2: Convert to fraction form
    5,401/7,297 = 7,297/x
  3. Step 3: Cross multiply
    5,401x = 7,297 × 7,297
  4. Step 4: Simplify right side
    5,401x = 53,246,209
  5. Step 5: Solve for x
    x = 53,246,209/5,401
  6. Step 6: Final answer
    x = 9,858.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.