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Finding the Third Proportional to 2,465.18 and 3,611.27

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Solution

The third proportional to 2,465.18 and 3,611.27 is: 5,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.18 : 3,611.27 = 3,611.27 : x
  2. Step 2: Convert to fraction form
    2,465.18/3,611.27 = 3,611.27/x
  3. Step 3: Cross multiply
    2,465.18x = 3,611.27 × 3,611.27
  4. Step 4: Simplify right side
    2,465.18x = 13,041,293.20
  5. Step 5: Solve for x
    x = 13,041,293.20/2,465.18
  6. Step 6: Final answer
    x = 5,290.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.