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Finding the Third Proportional to 9,741.94 and 21,335.06

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Solution

The third proportional to 9,741.94 and 21,335.06 is: 46,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.94 : 21,335.06 = 21,335.06 : x
  2. Step 2: Convert to fraction form
    9,741.94/21,335.06 = 21,335.06/x
  3. Step 3: Cross multiply
    9,741.94x = 21,335.06 × 21,335.06
  4. Step 4: Simplify right side
    9,741.94x = 455,184,891.88
  5. Step 5: Solve for x
    x = 455,184,891.88/9,741.94
  6. Step 6: Final answer
    x = 46,724.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.