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Finding the Third Proportional to 13,634.50 and 29,871.50

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Solution

The third proportional to 13,634.50 and 29,871.50 is: 65,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.50 : 29,871.50 = 29,871.50 : x
  2. Step 2: Convert to fraction form
    13,634.50/29,871.50 = 29,871.50/x
  3. Step 3: Cross multiply
    13,634.50x = 29,871.50 × 29,871.50
  4. Step 4: Simplify right side
    13,634.50x = 892,306,512.25
  5. Step 5: Solve for x
    x = 892,306,512.25/13,634.50
  6. Step 6: Final answer
    x = 65,444.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.