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Finding the Third Proportional to 2,222 and 2,887.50

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Solution

The third proportional to 2,222 and 2,887.50 is: 3,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222 : 2,887.50 = 2,887.50 : x
  2. Step 2: Convert to fraction form
    2,222/2,887.50 = 2,887.50/x
  3. Step 3: Cross multiply
    2,222x = 2,887.50 × 2,887.50
  4. Step 4: Simplify right side
    2,222x = 8,337,656.25
  5. Step 5: Solve for x
    x = 8,337,656.25/2,222
  6. Step 6: Final answer
    x = 3,752.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.