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Finding the Third Proportional to 15,161 and 32,813

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Solution

The third proportional to 15,161 and 32,813 is: 71,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161 : 32,813 = 32,813 : x
  2. Step 2: Convert to fraction form
    15,161/32,813 = 32,813/x
  3. Step 3: Cross multiply
    15,161x = 32,813 × 32,813
  4. Step 4: Simplify right side
    15,161x = 1,076,692,969
  5. Step 5: Solve for x
    x = 1,076,692,969/15,161
  6. Step 6: Final answer
    x = 71,017.28

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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.