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Finding the Third Proportional to 4,160.75 and 9,056.19

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Solution

The third proportional to 4,160.75 and 9,056.19 is: 19,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.75 : 9,056.19 = 9,056.19 : x
  2. Step 2: Convert to fraction form
    4,160.75/9,056.19 = 9,056.19/x
  3. Step 3: Cross multiply
    4,160.75x = 9,056.19 × 9,056.19
  4. Step 4: Simplify right side
    4,160.75x = 82,014,532.04
  5. Step 5: Solve for x
    x = 82,014,532.04/4,160.75
  6. Step 6: Final answer
    x = 19,711.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.