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Finding the Third Proportional to 1,749.94 and 4,088.81

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Solution

The third proportional to 1,749.94 and 4,088.81 is: 9,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.94 : 4,088.81 = 4,088.81 : x
  2. Step 2: Convert to fraction form
    1,749.94/4,088.81 = 4,088.81/x
  3. Step 3: Cross multiply
    1,749.94x = 4,088.81 × 4,088.81
  4. Step 4: Simplify right side
    1,749.94x = 16,718,387.66
  5. Step 5: Solve for x
    x = 16,718,387.66/1,749.94
  6. Step 6: Final answer
    x = 9,553.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.