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Finding the Third Proportional to 1,122.45 and 2,465.60

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Solution

The third proportional to 1,122.45 and 2,465.60 is: 5,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.45 : 2,465.60 = 2,465.60 : x
  2. Step 2: Convert to fraction form
    1,122.45/2,465.60 = 2,465.60/x
  3. Step 3: Cross multiply
    1,122.45x = 2,465.60 × 2,465.60
  4. Step 4: Simplify right side
    1,122.45x = 6,079,162.17
  5. Step 5: Solve for x
    x = 6,079,162.17/1,122.45
  6. Step 6: Final answer
    x = 5,415.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.