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Finding the Third Proportional to 19,667.06 and 29,493.75

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Solution

The third proportional to 19,667.06 and 29,493.75 is: 44,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.06 : 29,493.75 = 29,493.75 : x
  2. Step 2: Convert to fraction form
    19,667.06/29,493.75 = 29,493.75/x
  3. Step 3: Cross multiply
    19,667.06x = 29,493.75 × 29,493.75
  4. Step 4: Simplify right side
    19,667.06x = 869,881,289.06
  5. Step 5: Solve for x
    x = 869,881,289.06/19,667.06
  6. Step 6: Final answer
    x = 44,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.