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Finding the Third Proportional to 10,616.77 and 14,879.72

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Solution

The third proportional to 10,616.77 and 14,879.72 is: 20,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.77 : 14,879.72 = 14,879.72 : x
  2. Step 2: Convert to fraction form
    10,616.77/14,879.72 = 14,879.72/x
  3. Step 3: Cross multiply
    10,616.77x = 14,879.72 × 14,879.72
  4. Step 4: Simplify right side
    10,616.77x = 221,405,942.89
  5. Step 5: Solve for x
    x = 221,405,942.89/10,616.77
  6. Step 6: Final answer
    x = 20,854.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.