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Finding the Third Proportional to 15,370 and 21,767

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Solution

The third proportional to 15,370 and 21,767 is: 30,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,370 : 21,767 = 21,767 : x
  2. Step 2: Convert to fraction form
    15,370/21,767 = 21,767/x
  3. Step 3: Cross multiply
    15,370x = 21,767 × 21,767
  4. Step 4: Simplify right side
    15,370x = 473,802,289
  5. Step 5: Solve for x
    x = 473,802,289/15,370
  6. Step 6: Final answer
    x = 30,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.