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Finding the Third Proportional to 5,937 and 8,297

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Solution

The third proportional to 5,937 and 8,297 is: 11,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937 : 8,297 = 8,297 : x
  2. Step 2: Convert to fraction form
    5,937/8,297 = 8,297/x
  3. Step 3: Cross multiply
    5,937x = 8,297 × 8,297
  4. Step 4: Simplify right side
    5,937x = 68,840,209
  5. Step 5: Solve for x
    x = 68,840,209/5,937
  6. Step 6: Final answer
    x = 11,595.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.