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Finding the Third Proportional to 5,261.38 and 8,767.88

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Solution

The third proportional to 5,261.38 and 8,767.88 is: 14,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.38 : 8,767.88 = 8,767.88 : x
  2. Step 2: Convert to fraction form
    5,261.38/8,767.88 = 8,767.88/x
  3. Step 3: Cross multiply
    5,261.38x = 8,767.88 × 8,767.88
  4. Step 4: Simplify right side
    5,261.38x = 76,875,632.02
  5. Step 5: Solve for x
    x = 76,875,632.02/5,261.38
  6. Step 6: Final answer
    x = 14,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.