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Finding the Third Proportional to 12,662.50 and 29,314.75

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Solution

The third proportional to 12,662.50 and 29,314.75 is: 67,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.50 : 29,314.75 = 29,314.75 : x
  2. Step 2: Convert to fraction form
    12,662.50/29,314.75 = 29,314.75/x
  3. Step 3: Cross multiply
    12,662.50x = 29,314.75 × 29,314.75
  4. Step 4: Simplify right side
    12,662.50x = 859,354,567.56
  5. Step 5: Solve for x
    x = 859,354,567.56/12,662.50
  6. Step 6: Final answer
    x = 67,866.11

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.