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Finding the Third Proportional to 4,746.94 and 7,305.75

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Solution

The third proportional to 4,746.94 and 7,305.75 is: 11,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.94 : 7,305.75 = 7,305.75 : x
  2. Step 2: Convert to fraction form
    4,746.94/7,305.75 = 7,305.75/x
  3. Step 3: Cross multiply
    4,746.94x = 7,305.75 × 7,305.75
  4. Step 4: Simplify right side
    4,746.94x = 53,373,983.06
  5. Step 5: Solve for x
    x = 53,373,983.06/4,746.94
  6. Step 6: Final answer
    x = 11,243.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.