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Finding the Third Proportional to 15,246 and 33,338

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Solution

The third proportional to 15,246 and 33,338 is: 72,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246 : 33,338 = 33,338 : x
  2. Step 2: Convert to fraction form
    15,246/33,338 = 33,338/x
  3. Step 3: Cross multiply
    15,246x = 33,338 × 33,338
  4. Step 4: Simplify right side
    15,246x = 1,111,422,244
  5. Step 5: Solve for x
    x = 1,111,422,244/15,246
  6. Step 6: Final answer
    x = 72,899.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.