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Finding the Third Proportional to 14,266 and 33,334

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Solution

The third proportional to 14,266 and 33,334 is: 77,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266 : 33,334 = 33,334 : x
  2. Step 2: Convert to fraction form
    14,266/33,334 = 33,334/x
  3. Step 3: Cross multiply
    14,266x = 33,334 × 33,334
  4. Step 4: Simplify right side
    14,266x = 1,111,155,556
  5. Step 5: Solve for x
    x = 1,111,155,556/14,266
  6. Step 6: Final answer
    x = 77,888.37

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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.