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Finding the Third Proportional to 6,769.83 and 14,876.16

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Solution

The third proportional to 6,769.83 and 14,876.16 is: 32,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.83 : 14,876.16 = 14,876.16 : x
  2. Step 2: Convert to fraction form
    6,769.83/14,876.16 = 14,876.16/x
  3. Step 3: Cross multiply
    6,769.83x = 14,876.16 × 14,876.16
  4. Step 4: Simplify right side
    6,769.83x = 221,300,024.77
  5. Step 5: Solve for x
    x = 221,300,024.77/6,769.83
  6. Step 6: Final answer
    x = 32,689.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.