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Finding the Third Proportional to 5,905.88 and 8,843.63

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Solution

The third proportional to 5,905.88 and 8,843.63 is: 13,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.88 : 8,843.63 = 8,843.63 : x
  2. Step 2: Convert to fraction form
    5,905.88/8,843.63 = 8,843.63/x
  3. Step 3: Cross multiply
    5,905.88x = 8,843.63 × 8,843.63
  4. Step 4: Simplify right side
    5,905.88x = 78,209,703.14
  5. Step 5: Solve for x
    x = 78,209,703.14/5,905.88
  6. Step 6: Final answer
    x = 13,242.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.