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Finding the Third Proportional to 1,467 and 2,394.38

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Solution

The third proportional to 1,467 and 2,394.38 is: 3,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467 : 2,394.38 = 2,394.38 : x
  2. Step 2: Convert to fraction form
    1,467/2,394.38 = 2,394.38/x
  3. Step 3: Cross multiply
    1,467x = 2,394.38 × 2,394.38
  4. Step 4: Simplify right side
    1,467x = 5,733,031.64
  5. Step 5: Solve for x
    x = 5,733,031.64/1,467
  6. Step 6: Final answer
    x = 3,908.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.