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Finding the Third Proportional to 2,364.27 and 3,459.90

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Solution

The third proportional to 2,364.27 and 3,459.90 is: 5,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.27 : 3,459.90 = 3,459.90 : x
  2. Step 2: Convert to fraction form
    2,364.27/3,459.90 = 3,459.90/x
  3. Step 3: Cross multiply
    2,364.27x = 3,459.90 × 3,459.90
  4. Step 4: Simplify right side
    2,364.27x = 11,970,924.23
  5. Step 5: Solve for x
    x = 11,970,924.23/2,364.27
  6. Step 6: Final answer
    x = 5,063.27

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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.