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Finding the Third Proportional to 11,337 and 14,773.50

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Solution

The third proportional to 11,337 and 14,773.50 is: 19,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337 : 14,773.50 = 14,773.50 : x
  2. Step 2: Convert to fraction form
    11,337/14,773.50 = 14,773.50/x
  3. Step 3: Cross multiply
    11,337x = 14,773.50 × 14,773.50
  4. Step 4: Simplify right side
    11,337x = 218,256,302.25
  5. Step 5: Solve for x
    x = 218,256,302.25/11,337
  6. Step 6: Final answer
    x = 19,251.68

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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.