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Finding the Third Proportional to 14,255 and 33,307

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Solution

The third proportional to 14,255 and 33,307 is: 77,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255 : 33,307 = 33,307 : x
  2. Step 2: Convert to fraction form
    14,255/33,307 = 33,307/x
  3. Step 3: Cross multiply
    14,255x = 33,307 × 33,307
  4. Step 4: Simplify right side
    14,255x = 1,109,356,249
  5. Step 5: Solve for x
    x = 1,109,356,249/14,255
  6. Step 6: Final answer
    x = 77,822.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.