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Finding the Third Proportional to 21,548 and 33,270

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Solution

The third proportional to 21,548 and 33,270 is: 51,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548 : 33,270 = 33,270 : x
  2. Step 2: Convert to fraction form
    21,548/33,270 = 33,270/x
  3. Step 3: Cross multiply
    21,548x = 33,270 × 33,270
  4. Step 4: Simplify right side
    21,548x = 1,106,892,900
  5. Step 5: Solve for x
    x = 1,106,892,900/21,548
  6. Step 6: Final answer
    x = 51,368.71

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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.