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Finding the Third Proportional to 13,432.50 and 21,102.75

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Solution

The third proportional to 13,432.50 and 21,102.75 is: 33,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.50 : 21,102.75 = 21,102.75 : x
  2. Step 2: Convert to fraction form
    13,432.50/21,102.75 = 21,102.75/x
  3. Step 3: Cross multiply
    13,432.50x = 21,102.75 × 21,102.75
  4. Step 4: Simplify right side
    13,432.50x = 445,326,057.56
  5. Step 5: Solve for x
    x = 445,326,057.56/13,432.50
  6. Step 6: Final answer
    x = 33,152.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.