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Finding the Third Proportional to 6,010 and 9,404

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Solution

The third proportional to 6,010 and 9,404 is: 14,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010 : 9,404 = 9,404 : x
  2. Step 2: Convert to fraction form
    6,010/9,404 = 9,404/x
  3. Step 3: Cross multiply
    6,010x = 9,404 × 9,404
  4. Step 4: Simplify right side
    6,010x = 88,435,216
  5. Step 5: Solve for x
    x = 88,435,216/6,010
  6. Step 6: Final answer
    x = 14,714.68

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