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Finding the Third Proportional to 9,664.59 and 14,150.81

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Solution

The third proportional to 9,664.59 and 14,150.81 is: 20,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.59 : 14,150.81 = 14,150.81 : x
  2. Step 2: Convert to fraction form
    9,664.59/14,150.81 = 14,150.81/x
  3. Step 3: Cross multiply
    9,664.59x = 14,150.81 × 14,150.81
  4. Step 4: Simplify right side
    9,664.59x = 200,245,494.41
  5. Step 5: Solve for x
    x = 200,245,494.41/9,664.59
  6. Step 6: Final answer
    x = 20,719.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.