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Finding the Third Proportional to 12,132.28 and 16,303.78

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Solution

The third proportional to 12,132.28 and 16,303.78 is: 21,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.28 : 16,303.78 = 16,303.78 : x
  2. Step 2: Convert to fraction form
    12,132.28/16,303.78 = 16,303.78/x
  3. Step 3: Cross multiply
    12,132.28x = 16,303.78 × 16,303.78
  4. Step 4: Simplify right side
    12,132.28x = 265,813,283.05
  5. Step 5: Solve for x
    x = 265,813,283.05/12,132.28
  6. Step 6: Final answer
    x = 21,909.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.