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Finding the Third Proportional to 2,410.31 and 3,656.06

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Solution

The third proportional to 2,410.31 and 3,656.06 is: 5,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.31 : 3,656.06 = 3,656.06 : x
  2. Step 2: Convert to fraction form
    2,410.31/3,656.06 = 3,656.06/x
  3. Step 3: Cross multiply
    2,410.31x = 3,656.06 × 3,656.06
  4. Step 4: Simplify right side
    2,410.31x = 13,366,793.00
  5. Step 5: Solve for x
    x = 13,366,793.00/2,410.31
  6. Step 6: Final answer
    x = 5,545.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.