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Finding the Third Proportional to 15,116 and 22,732

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Solution

The third proportional to 15,116 and 22,732 is: 34,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116 : 22,732 = 22,732 : x
  2. Step 2: Convert to fraction form
    15,116/22,732 = 22,732/x
  3. Step 3: Cross multiply
    15,116x = 22,732 × 22,732
  4. Step 4: Simplify right side
    15,116x = 516,743,824
  5. Step 5: Solve for x
    x = 516,743,824/15,116
  6. Step 6: Final answer
    x = 34,185.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.