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Finding the Third Proportional to 6,029.44 and 9,590.91

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Solution

The third proportional to 6,029.44 and 9,590.91 is: 15,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.44 : 9,590.91 = 9,590.91 : x
  2. Step 2: Convert to fraction form
    6,029.44/9,590.91 = 9,590.91/x
  3. Step 3: Cross multiply
    6,029.44x = 9,590.91 × 9,590.91
  4. Step 4: Simplify right side
    6,029.44x = 91,985,482.70
  5. Step 5: Solve for x
    x = 91,985,482.70/6,029.44
  6. Step 6: Final answer
    x = 15,256.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.