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Finding the Third Proportional to 12,614.50 and 29,735.50

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Solution

The third proportional to 12,614.50 and 29,735.50 is: 70,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.50 : 29,735.50 = 29,735.50 : x
  2. Step 2: Convert to fraction form
    12,614.50/29,735.50 = 29,735.50/x
  3. Step 3: Cross multiply
    12,614.50x = 29,735.50 × 29,735.50
  4. Step 4: Simplify right side
    12,614.50x = 884,199,960.25
  5. Step 5: Solve for x
    x = 884,199,960.25/12,614.50
  6. Step 6: Final answer
    x = 70,093.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.