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Finding the Third Proportional to 9,609.89 and 20,970.14

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Solution

The third proportional to 9,609.89 and 20,970.14 is: 45,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.89 : 20,970.14 = 20,970.14 : x
  2. Step 2: Convert to fraction form
    9,609.89/20,970.14 = 20,970.14/x
  3. Step 3: Cross multiply
    9,609.89x = 20,970.14 × 20,970.14
  4. Step 4: Simplify right side
    9,609.89x = 439,746,797.83
  5. Step 5: Solve for x
    x = 439,746,797.83/9,609.89
  6. Step 6: Final answer
    x = 45,759.81

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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.