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Finding the Third Proportional to 4,782.66 and 10,333.83

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Solution

The third proportional to 4,782.66 and 10,333.83 is: 22,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.66 : 10,333.83 = 10,333.83 : x
  2. Step 2: Convert to fraction form
    4,782.66/10,333.83 = 10,333.83/x
  3. Step 3: Cross multiply
    4,782.66x = 10,333.83 × 10,333.83
  4. Step 4: Simplify right side
    4,782.66x = 106,788,003.72
  5. Step 5: Solve for x
    x = 106,788,003.72/4,782.66
  6. Step 6: Final answer
    x = 22,328.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.