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Finding the Third Proportional to 4,704 and 11,143.50

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Solution

The third proportional to 4,704 and 11,143.50 is: 26,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 11,143.50 = 11,143.50 : x
  2. Step 2: Convert to fraction form
    4,704/11,143.50 = 11,143.50/x
  3. Step 3: Cross multiply
    4,704x = 11,143.50 × 11,143.50
  4. Step 4: Simplify right side
    4,704x = 124,177,592.25
  5. Step 5: Solve for x
    x = 124,177,592.25/4,704
  6. Step 6: Final answer
    x = 26,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.