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Finding the Third Proportional to 2,887.17 and 6,225.05

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Solution

The third proportional to 2,887.17 and 6,225.05 is: 13,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.17 : 6,225.05 = 6,225.05 : x
  2. Step 2: Convert to fraction form
    2,887.17/6,225.05 = 6,225.05/x
  3. Step 3: Cross multiply
    2,887.17x = 6,225.05 × 6,225.05
  4. Step 4: Simplify right side
    2,887.17x = 38,751,208.60
  5. Step 5: Solve for x
    x = 38,751,208.60/2,887.17
  6. Step 6: Final answer
    x = 13,421.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.