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Finding the Third Proportional to 21,754 and 45,384

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Solution

The third proportional to 21,754 and 45,384 is: 94,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754 : 45,384 = 45,384 : x
  2. Step 2: Convert to fraction form
    21,754/45,384 = 45,384/x
  3. Step 3: Cross multiply
    21,754x = 45,384 × 45,384
  4. Step 4: Simplify right side
    21,754x = 2,059,707,456
  5. Step 5: Solve for x
    x = 2,059,707,456/21,754
  6. Step 6: Final answer
    x = 94,681.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.