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Finding the Third Proportional to 15,951 and 22,833

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Solution

The third proportional to 15,951 and 22,833 is: 32,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,951 : 22,833 = 22,833 : x
  2. Step 2: Convert to fraction form
    15,951/22,833 = 22,833/x
  3. Step 3: Cross multiply
    15,951x = 22,833 × 22,833
  4. Step 4: Simplify right side
    15,951x = 521,345,889
  5. Step 5: Solve for x
    x = 521,345,889/15,951
  6. Step 6: Final answer
    x = 32,684.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.