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Finding the Third Proportional to 9,813.66 and 21,804.19

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Solution

The third proportional to 9,813.66 and 21,804.19 is: 48,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.66 : 21,804.19 = 21,804.19 : x
  2. Step 2: Convert to fraction form
    9,813.66/21,804.19 = 21,804.19/x
  3. Step 3: Cross multiply
    9,813.66x = 21,804.19 × 21,804.19
  4. Step 4: Simplify right side
    9,813.66x = 475,422,592.54
  5. Step 5: Solve for x
    x = 475,422,592.54/9,813.66
  6. Step 6: Final answer
    x = 48,445.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.