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Finding the Third Proportional to 15,906 and 30,366

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Solution

The third proportional to 15,906 and 30,366 is: 57,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 30,366 = 30,366 : x
  2. Step 2: Convert to fraction form
    15,906/30,366 = 30,366/x
  3. Step 3: Cross multiply
    15,906x = 30,366 × 30,366
  4. Step 4: Simplify right side
    15,906x = 922,093,956
  5. Step 5: Solve for x
    x = 922,093,956/15,906
  6. Step 6: Final answer
    x = 57,971.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.