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Finding the Third Proportional to 14,236.38 and 30,931.24

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Solution

The third proportional to 14,236.38 and 30,931.24 is: 67,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.38 : 30,931.24 = 30,931.24 : x
  2. Step 2: Convert to fraction form
    14,236.38/30,931.24 = 30,931.24/x
  3. Step 3: Cross multiply
    14,236.38x = 30,931.24 × 30,931.24
  4. Step 4: Simplify right side
    14,236.38x = 956,741,743.26
  5. Step 5: Solve for x
    x = 956,741,743.26/14,236.38
  6. Step 6: Final answer
    x = 67,203.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.