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Finding the Third Proportional to 1,474.63 and 2,301.63

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Solution

The third proportional to 1,474.63 and 2,301.63 is: 3,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.63 : 2,301.63 = 2,301.63 : x
  2. Step 2: Convert to fraction form
    1,474.63/2,301.63 = 2,301.63/x
  3. Step 3: Cross multiply
    1,474.63x = 2,301.63 × 2,301.63
  4. Step 4: Simplify right side
    1,474.63x = 5,297,477.64
  5. Step 5: Solve for x
    x = 5,297,477.64/1,474.63
  6. Step 6: Final answer
    x = 3,592.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.