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Finding the Third Proportional to 1,610.35 and 3,708.72

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Solution

The third proportional to 1,610.35 and 3,708.72 is: 8,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.35 : 3,708.72 = 3,708.72 : x
  2. Step 2: Convert to fraction form
    1,610.35/3,708.72 = 3,708.72/x
  3. Step 3: Cross multiply
    1,610.35x = 3,708.72 × 3,708.72
  4. Step 4: Simplify right side
    1,610.35x = 13,754,576.66
  5. Step 5: Solve for x
    x = 13,754,576.66/1,610.35
  6. Step 6: Final answer
    x = 8,541.36

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.