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Finding the Third Proportional to 21,032 and 27,348

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Solution

The third proportional to 21,032 and 27,348 is: 35,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032 : 27,348 = 27,348 : x
  2. Step 2: Convert to fraction form
    21,032/27,348 = 27,348/x
  3. Step 3: Cross multiply
    21,032x = 27,348 × 27,348
  4. Step 4: Simplify right side
    21,032x = 747,913,104
  5. Step 5: Solve for x
    x = 747,913,104/21,032
  6. Step 6: Final answer
    x = 35,560.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.