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Finding the Third Proportional to 3,887.16 and 6,003.28

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Solution

The third proportional to 3,887.16 and 6,003.28 is: 9,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.16 : 6,003.28 = 6,003.28 : x
  2. Step 2: Convert to fraction form
    3,887.16/6,003.28 = 6,003.28/x
  3. Step 3: Cross multiply
    3,887.16x = 6,003.28 × 6,003.28
  4. Step 4: Simplify right side
    3,887.16x = 36,039,385.77
  5. Step 5: Solve for x
    x = 36,039,385.77/3,887.16
  6. Step 6: Final answer
    x = 9,271.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.