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Finding the Third Proportional to 15,305 and 32,843

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Solution

The third proportional to 15,305 and 32,843 is: 70,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305 : 32,843 = 32,843 : x
  2. Step 2: Convert to fraction form
    15,305/32,843 = 32,843/x
  3. Step 3: Cross multiply
    15,305x = 32,843 × 32,843
  4. Step 4: Simplify right side
    15,305x = 1,078,662,649
  5. Step 5: Solve for x
    x = 1,078,662,649/15,305
  6. Step 6: Final answer
    x = 70,477.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.