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Finding the Third Proportional to 9,607.50 and 21,105

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Solution

The third proportional to 9,607.50 and 21,105 is: 46,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 21,105 = 21,105 : x
  2. Step 2: Convert to fraction form
    9,607.50/21,105 = 21,105/x
  3. Step 3: Cross multiply
    9,607.50x = 21,105 × 21,105
  4. Step 4: Simplify right side
    9,607.50x = 445,421,025
  5. Step 5: Solve for x
    x = 445,421,025/9,607.50
  6. Step 6: Final answer
    x = 46,361.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.