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Finding the Third Proportional to 1,617.56 and 3,465.94

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Solution

The third proportional to 1,617.56 and 3,465.94 is: 7,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.56 : 3,465.94 = 3,465.94 : x
  2. Step 2: Convert to fraction form
    1,617.56/3,465.94 = 3,465.94/x
  3. Step 3: Cross multiply
    1,617.56x = 3,465.94 × 3,465.94
  4. Step 4: Simplify right side
    1,617.56x = 12,012,722.75
  5. Step 5: Solve for x
    x = 12,012,722.75/1,617.56
  6. Step 6: Final answer
    x = 7,426.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.