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Finding the Third Proportional to 2,887.21 and 6,184.48

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Solution

The third proportional to 2,887.21 and 6,184.48 is: 13,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.21 : 6,184.48 = 6,184.48 : x
  2. Step 2: Convert to fraction form
    2,887.21/6,184.48 = 6,184.48/x
  3. Step 3: Cross multiply
    2,887.21x = 6,184.48 × 6,184.48
  4. Step 4: Simplify right side
    2,887.21x = 38,247,750.35
  5. Step 5: Solve for x
    x = 38,247,750.35/2,887.21
  6. Step 6: Final answer
    x = 13,247.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.