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Finding the Third Proportional to 21,356 and 32,548

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Solution

The third proportional to 21,356 and 32,548 is: 49,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356 : 32,548 = 32,548 : x
  2. Step 2: Convert to fraction form
    21,356/32,548 = 32,548/x
  3. Step 3: Cross multiply
    21,356x = 32,548 × 32,548
  4. Step 4: Simplify right side
    21,356x = 1,059,372,304
  5. Step 5: Solve for x
    x = 1,059,372,304/21,356
  6. Step 6: Final answer
    x = 49,605.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.