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Finding the Third Proportional to 4,701.38 and 10,145.25

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Solution

The third proportional to 4,701.38 and 10,145.25 is: 21,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.38 : 10,145.25 = 10,145.25 : x
  2. Step 2: Convert to fraction form
    4,701.38/10,145.25 = 10,145.25/x
  3. Step 3: Cross multiply
    4,701.38x = 10,145.25 × 10,145.25
  4. Step 4: Simplify right side
    4,701.38x = 102,926,097.56
  5. Step 5: Solve for x
    x = 102,926,097.56/4,701.38
  6. Step 6: Final answer
    x = 21,892.76

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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.