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Finding the Third Proportional to 14,431.75 and 29,997.50

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Solution

The third proportional to 14,431.75 and 29,997.50 is: 62,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.75 : 29,997.50 = 29,997.50 : x
  2. Step 2: Convert to fraction form
    14,431.75/29,997.50 = 29,997.50/x
  3. Step 3: Cross multiply
    14,431.75x = 29,997.50 × 29,997.50
  4. Step 4: Simplify right side
    14,431.75x = 899,850,006.25
  5. Step 5: Solve for x
    x = 899,850,006.25/14,431.75
  6. Step 6: Final answer
    x = 62,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.