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Finding the Third Proportional to 2,322 and 3,507

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Solution

The third proportional to 2,322 and 3,507 is: 5,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322 : 3,507 = 3,507 : x
  2. Step 2: Convert to fraction form
    2,322/3,507 = 3,507/x
  3. Step 3: Cross multiply
    2,322x = 3,507 × 3,507
  4. Step 4: Simplify right side
    2,322x = 12,299,049
  5. Step 5: Solve for x
    x = 12,299,049/2,322
  6. Step 6: Final answer
    x = 5,296.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.