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Finding the Third Proportional to 7,854 and 11,297

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Solution

The third proportional to 7,854 and 11,297 is: 16,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 11,297 = 11,297 : x
  2. Step 2: Convert to fraction form
    7,854/11,297 = 11,297/x
  3. Step 3: Cross multiply
    7,854x = 11,297 × 11,297
  4. Step 4: Simplify right side
    7,854x = 127,622,209
  5. Step 5: Solve for x
    x = 127,622,209/7,854
  6. Step 6: Final answer
    x = 16,249.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.