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Finding the Third Proportional to 1,610.63 and 3,513.75

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Solution

The third proportional to 1,610.63 and 3,513.75 is: 7,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.63 : 3,513.75 = 3,513.75 : x
  2. Step 2: Convert to fraction form
    1,610.63/3,513.75 = 3,513.75/x
  3. Step 3: Cross multiply
    1,610.63x = 3,513.75 × 3,513.75
  4. Step 4: Simplify right side
    1,610.63x = 12,346,439.06
  5. Step 5: Solve for x
    x = 12,346,439.06/1,610.63
  6. Step 6: Final answer
    x = 7,665.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.