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Finding the Third Proportional to 13,661.50 and 30,032.50

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Solution

The third proportional to 13,661.50 and 30,032.50 is: 66,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.50 : 30,032.50 = 30,032.50 : x
  2. Step 2: Convert to fraction form
    13,661.50/30,032.50 = 30,032.50/x
  3. Step 3: Cross multiply
    13,661.50x = 30,032.50 × 30,032.50
  4. Step 4: Simplify right side
    13,661.50x = 901,951,056.25
  5. Step 5: Solve for x
    x = 901,951,056.25/13,661.50
  6. Step 6: Final answer
    x = 66,021.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.