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Finding the Third Proportional to 9,435.75 and 12,101.63

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Solution

The third proportional to 9,435.75 and 12,101.63 is: 15,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.75 : 12,101.63 = 12,101.63 : x
  2. Step 2: Convert to fraction form
    9,435.75/12,101.63 = 12,101.63/x
  3. Step 3: Cross multiply
    9,435.75x = 12,101.63 × 12,101.63
  4. Step 4: Simplify right side
    9,435.75x = 146,449,327.64
  5. Step 5: Solve for x
    x = 146,449,327.64/9,435.75
  6. Step 6: Final answer
    x = 15,520.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.