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Finding the Third Proportional to 10,015.88 and 16,278.94

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Solution

The third proportional to 10,015.88 and 16,278.94 is: 26,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.88 : 16,278.94 = 16,278.94 : x
  2. Step 2: Convert to fraction form
    10,015.88/16,278.94 = 16,278.94/x
  3. Step 3: Cross multiply
    10,015.88x = 16,278.94 × 16,278.94
  4. Step 4: Simplify right side
    10,015.88x = 265,003,806.13
  5. Step 5: Solve for x
    x = 265,003,806.13/10,015.88
  6. Step 6: Final answer
    x = 26,458.38

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.