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Finding the Third Proportional to 11,782.13 and 16,799.06

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Solution

The third proportional to 11,782.13 and 16,799.06 is: 23,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.13 : 16,799.06 = 16,799.06 : x
  2. Step 2: Convert to fraction form
    11,782.13/16,799.06 = 16,799.06/x
  3. Step 3: Cross multiply
    11,782.13x = 16,799.06 × 16,799.06
  4. Step 4: Simplify right side
    11,782.13x = 282,208,500.88
  5. Step 5: Solve for x
    x = 282,208,500.88/11,782.13
  6. Step 6: Final answer
    x = 23,952.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.