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Finding the Third Proportional to 15,428 and 33,256

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Solution

The third proportional to 15,428 and 33,256 is: 71,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 33,256 = 33,256 : x
  2. Step 2: Convert to fraction form
    15,428/33,256 = 33,256/x
  3. Step 3: Cross multiply
    15,428x = 33,256 × 33,256
  4. Step 4: Simplify right side
    15,428x = 1,105,961,536
  5. Step 5: Solve for x
    x = 1,105,961,536/15,428
  6. Step 6: Final answer
    x = 71,685.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.