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Finding the Third Proportional to 2,967 and 7,495.50

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Solution

The third proportional to 2,967 and 7,495.50 is: 18,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967 : 7,495.50 = 7,495.50 : x
  2. Step 2: Convert to fraction form
    2,967/7,495.50 = 7,495.50/x
  3. Step 3: Cross multiply
    2,967x = 7,495.50 × 7,495.50
  4. Step 4: Simplify right side
    2,967x = 56,182,520.25
  5. Step 5: Solve for x
    x = 56,182,520.25/2,967
  6. Step 6: Final answer
    x = 18,935.80

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.