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Finding the Third Proportional to 10,669.78 and 16,151.39

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Solution

The third proportional to 10,669.78 and 16,151.39 is: 24,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.78 : 16,151.39 = 16,151.39 : x
  2. Step 2: Convert to fraction form
    10,669.78/16,151.39 = 16,151.39/x
  3. Step 3: Cross multiply
    10,669.78x = 16,151.39 × 16,151.39
  4. Step 4: Simplify right side
    10,669.78x = 260,867,419.12
  5. Step 5: Solve for x
    x = 260,867,419.12/10,669.78
  6. Step 6: Final answer
    x = 24,449.18

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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.