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Finding the Third Proportional to 14,253.75 and 21,927.38

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Solution

The third proportional to 14,253.75 and 21,927.38 is: 33,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.75 : 21,927.38 = 21,927.38 : x
  2. Step 2: Convert to fraction form
    14,253.75/21,927.38 = 21,927.38/x
  3. Step 3: Cross multiply
    14,253.75x = 21,927.38 × 21,927.38
  4. Step 4: Simplify right side
    14,253.75x = 480,809,774.39
  5. Step 5: Solve for x
    x = 480,809,774.39/14,253.75
  6. Step 6: Final answer
    x = 33,732.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.