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Finding the Third Proportional to 19,032 and 23,244

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Solution

The third proportional to 19,032 and 23,244 is: 28,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 23,244 = 23,244 : x
  2. Step 2: Convert to fraction form
    19,032/23,244 = 23,244/x
  3. Step 3: Cross multiply
    19,032x = 23,244 × 23,244
  4. Step 4: Simplify right side
    19,032x = 540,283,536
  5. Step 5: Solve for x
    x = 540,283,536/19,032
  6. Step 6: Final answer
    x = 28,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.