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Finding the Third Proportional to 9,741.94 and 21,040.59

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Solution

The third proportional to 9,741.94 and 21,040.59 is: 45,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.94 : 21,040.59 = 21,040.59 : x
  2. Step 2: Convert to fraction form
    9,741.94/21,040.59 = 21,040.59/x
  3. Step 3: Cross multiply
    9,741.94x = 21,040.59 × 21,040.59
  4. Step 4: Simplify right side
    9,741.94x = 442,706,585.35
  5. Step 5: Solve for x
    x = 442,706,585.35/9,741.94
  6. Step 6: Final answer
    x = 45,443.38

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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.