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Finding the Third Proportional to 6,941 and 11,101.50

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Solution

The third proportional to 6,941 and 11,101.50 is: 17,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 11,101.50 = 11,101.50 : x
  2. Step 2: Convert to fraction form
    6,941/11,101.50 = 11,101.50/x
  3. Step 3: Cross multiply
    6,941x = 11,101.50 × 11,101.50
  4. Step 4: Simplify right side
    6,941x = 123,243,302.25
  5. Step 5: Solve for x
    x = 123,243,302.25/6,941
  6. Step 6: Final answer
    x = 17,755.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.