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Finding the Third Proportional to 2,322 and 3,405.38

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Solution

The third proportional to 2,322 and 3,405.38 is: 4,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322 : 3,405.38 = 3,405.38 : x
  2. Step 2: Convert to fraction form
    2,322/3,405.38 = 3,405.38/x
  3. Step 3: Cross multiply
    2,322x = 3,405.38 × 3,405.38
  4. Step 4: Simplify right side
    2,322x = 11,596,578.89
  5. Step 5: Solve for x
    x = 11,596,578.89/2,322
  6. Step 6: Final answer
    x = 4,994.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.