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Finding the Third Proportional to 15,284 and 31,956

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Solution

The third proportional to 15,284 and 31,956 is: 66,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 31,956 = 31,956 : x
  2. Step 2: Convert to fraction form
    15,284/31,956 = 31,956/x
  3. Step 3: Cross multiply
    15,284x = 31,956 × 31,956
  4. Step 4: Simplify right side
    15,284x = 1,021,185,936
  5. Step 5: Solve for x
    x = 1,021,185,936/15,284
  6. Step 6: Final answer
    x = 66,814.05

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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.