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Finding the Third Proportional to 1,031.06 and 1,589.63

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Solution

The third proportional to 1,031.06 and 1,589.63 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,589.63 = 1,589.63 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,589.63 = 1,589.63/x
  3. Step 3: Cross multiply
    1,031.06x = 1,589.63 × 1,589.63
  4. Step 4: Simplify right side
    1,031.06x = 2,526,907.64
  5. Step 5: Solve for x
    x = 2,526,907.64/1,031.06
  6. Step 6: Final answer
    x = 2,450.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.