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Finding the Third Proportional to 5,407.70 and 9,375.91

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Solution

The third proportional to 5,407.70 and 9,375.91 is: 16,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.70 : 9,375.91 = 9,375.91 : x
  2. Step 2: Convert to fraction form
    5,407.70/9,375.91 = 9,375.91/x
  3. Step 3: Cross multiply
    5,407.70x = 9,375.91 × 9,375.91
  4. Step 4: Simplify right side
    5,407.70x = 87,907,654.63
  5. Step 5: Solve for x
    x = 87,907,654.63/5,407.70
  6. Step 6: Final answer
    x = 16,256.02

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.