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Finding the Third Proportional to 15,173 and 32,809

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Solution

The third proportional to 15,173 and 32,809 is: 70,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173 : 32,809 = 32,809 : x
  2. Step 2: Convert to fraction form
    15,173/32,809 = 32,809/x
  3. Step 3: Cross multiply
    15,173x = 32,809 × 32,809
  4. Step 4: Simplify right side
    15,173x = 1,076,430,481
  5. Step 5: Solve for x
    x = 1,076,430,481/15,173
  6. Step 6: Final answer
    x = 70,943.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.