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Finding the Third Proportional to 1,763.19 and 4,177.31

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Solution

The third proportional to 1,763.19 and 4,177.31 is: 9,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.19 : 4,177.31 = 4,177.31 : x
  2. Step 2: Convert to fraction form
    1,763.19/4,177.31 = 4,177.31/x
  3. Step 3: Cross multiply
    1,763.19x = 4,177.31 × 4,177.31
  4. Step 4: Simplify right side
    1,763.19x = 17,449,939.72
  5. Step 5: Solve for x
    x = 17,449,939.72/1,763.19
  6. Step 6: Final answer
    x = 9,896.81

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.