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Finding the Third Proportional to 15,278 and 33,662

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Solution

The third proportional to 15,278 and 33,662 is: 74,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278 : 33,662 = 33,662 : x
  2. Step 2: Convert to fraction form
    15,278/33,662 = 33,662/x
  3. Step 3: Cross multiply
    15,278x = 33,662 × 33,662
  4. Step 4: Simplify right side
    15,278x = 1,133,130,244
  5. Step 5: Solve for x
    x = 1,133,130,244/15,278
  6. Step 6: Final answer
    x = 74,167.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.