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Finding the Third Proportional to 5,997.16 and 8,765.09

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Solution

The third proportional to 5,997.16 and 8,765.09 is: 12,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.16 : 8,765.09 = 8,765.09 : x
  2. Step 2: Convert to fraction form
    5,997.16/8,765.09 = 8,765.09/x
  3. Step 3: Cross multiply
    5,997.16x = 8,765.09 × 8,765.09
  4. Step 4: Simplify right side
    5,997.16x = 76,826,731.49
  5. Step 5: Solve for x
    x = 76,826,731.49/5,997.16
  6. Step 6: Final answer
    x = 12,810.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.