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Finding the Third Proportional to 5,023.88 and 7,961.25

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Solution

The third proportional to 5,023.88 and 7,961.25 is: 12,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.88 : 7,961.25 = 7,961.25 : x
  2. Step 2: Convert to fraction form
    5,023.88/7,961.25 = 7,961.25/x
  3. Step 3: Cross multiply
    5,023.88x = 7,961.25 × 7,961.25
  4. Step 4: Simplify right side
    5,023.88x = 63,381,501.56
  5. Step 5: Solve for x
    x = 63,381,501.56/5,023.88
  6. Step 6: Final answer
    x = 12,616.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.