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Finding the Third Proportional to 6,138.75 and 9,518.63

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Solution

The third proportional to 6,138.75 and 9,518.63 is: 14,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.75 : 9,518.63 = 9,518.63 : x
  2. Step 2: Convert to fraction form
    6,138.75/9,518.63 = 9,518.63/x
  3. Step 3: Cross multiply
    6,138.75x = 9,518.63 × 9,518.63
  4. Step 4: Simplify right side
    6,138.75x = 90,604,221.89
  5. Step 5: Solve for x
    x = 90,604,221.89/6,138.75
  6. Step 6: Final answer
    x = 14,759.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.