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Finding the Third Proportional to 4,748.25 and 7,083.75

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Solution

The third proportional to 4,748.25 and 7,083.75 is: 10,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.25 : 7,083.75 = 7,083.75 : x
  2. Step 2: Convert to fraction form
    4,748.25/7,083.75 = 7,083.75/x
  3. Step 3: Cross multiply
    4,748.25x = 7,083.75 × 7,083.75
  4. Step 4: Simplify right side
    4,748.25x = 50,179,514.06
  5. Step 5: Solve for x
    x = 50,179,514.06/4,748.25
  6. Step 6: Final answer
    x = 10,568.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.