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Finding the Third Proportional to 5,073.75 and 12,133.69

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Solution

The third proportional to 5,073.75 and 12,133.69 is: 29,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.75 : 12,133.69 = 12,133.69 : x
  2. Step 2: Convert to fraction form
    5,073.75/12,133.69 = 12,133.69/x
  3. Step 3: Cross multiply
    5,073.75x = 12,133.69 × 12,133.69
  4. Step 4: Simplify right side
    5,073.75x = 147,226,372.35
  5. Step 5: Solve for x
    x = 147,226,372.35/5,073.75
  6. Step 6: Final answer
    x = 29,017.27

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.