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Finding the Third Proportional to 2,103.75 and 3,160.69

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Solution

The third proportional to 2,103.75 and 3,160.69 is: 4,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.75 : 3,160.69 = 3,160.69 : x
  2. Step 2: Convert to fraction form
    2,103.75/3,160.69 = 3,160.69/x
  3. Step 3: Cross multiply
    2,103.75x = 3,160.69 × 3,160.69
  4. Step 4: Simplify right side
    2,103.75x = 9,989,945.47
  5. Step 5: Solve for x
    x = 9,989,945.47/2,103.75
  6. Step 6: Final answer
    x = 4,748.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.