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Finding the Third Proportional to 14,238.28 and 21,239.72

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Solution

The third proportional to 14,238.28 and 21,239.72 is: 31,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.28 : 21,239.72 = 21,239.72 : x
  2. Step 2: Convert to fraction form
    14,238.28/21,239.72 = 21,239.72/x
  3. Step 3: Cross multiply
    14,238.28x = 21,239.72 × 21,239.72
  4. Step 4: Simplify right side
    14,238.28x = 451,125,652.58
  5. Step 5: Solve for x
    x = 451,125,652.58/14,238.28
  6. Step 6: Final answer
    x = 31,684.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.