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Finding the Third Proportional to 15,211 and 35,533

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Solution

The third proportional to 15,211 and 35,533 is: 83,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211 : 35,533 = 35,533 : x
  2. Step 2: Convert to fraction form
    15,211/35,533 = 35,533/x
  3. Step 3: Cross multiply
    15,211x = 35,533 × 35,533
  4. Step 4: Simplify right side
    15,211x = 1,262,594,089
  5. Step 5: Solve for x
    x = 1,262,594,089/15,211
  6. Step 6: Final answer
    x = 83,005.33

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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.