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Finding the Third Proportional to 15,687 and 22,361.63

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Solution

The third proportional to 15,687 and 22,361.63 is: 31,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687 : 22,361.63 = 22,361.63 : x
  2. Step 2: Convert to fraction form
    15,687/22,361.63 = 22,361.63/x
  3. Step 3: Cross multiply
    15,687x = 22,361.63 × 22,361.63
  4. Step 4: Simplify right side
    15,687x = 500,042,272.64
  5. Step 5: Solve for x
    x = 500,042,272.64/15,687
  6. Step 6: Final answer
    x = 31,876.22

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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.