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Finding the Third Proportional to 14,238 and 21,241.50

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Solution

The third proportional to 14,238 and 21,241.50 is: 31,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 21,241.50 = 21,241.50 : x
  2. Step 2: Convert to fraction form
    14,238/21,241.50 = 21,241.50/x
  3. Step 3: Cross multiply
    14,238x = 21,241.50 × 21,241.50
  4. Step 4: Simplify right side
    14,238x = 451,201,322.25
  5. Step 5: Solve for x
    x = 451,201,322.25/14,238
  6. Step 6: Final answer
    x = 31,689.94

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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.