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Finding the Third Proportional to 15,589.13 and 29,743.03

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Solution

The third proportional to 15,589.13 and 29,743.03 is: 56,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 29,743.03 = 29,743.03 : x
  2. Step 2: Convert to fraction form
    15,589.13/29,743.03 = 29,743.03/x
  3. Step 3: Cross multiply
    15,589.13x = 29,743.03 × 29,743.03
  4. Step 4: Simplify right side
    15,589.13x = 884,647,907.94
  5. Step 5: Solve for x
    x = 884,647,907.94/15,589.13
  6. Step 6: Final answer
    x = 56,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.