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Finding the Third Proportional to 10,912.22 and 16,459.45

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Solution

The third proportional to 10,912.22 and 16,459.45 is: 24,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.22 : 16,459.45 = 16,459.45 : x
  2. Step 2: Convert to fraction form
    10,912.22/16,459.45 = 16,459.45/x
  3. Step 3: Cross multiply
    10,912.22x = 16,459.45 × 16,459.45
  4. Step 4: Simplify right side
    10,912.22x = 270,913,597.17
  5. Step 5: Solve for x
    x = 270,913,597.17/10,912.22
  6. Step 6: Final answer
    x = 24,826.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.