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Finding the Third Proportional to 15,614 and 23,619

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Solution

The third proportional to 15,614 and 23,619 is: 35,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614 : 23,619 = 23,619 : x
  2. Step 2: Convert to fraction form
    15,614/23,619 = 23,619/x
  3. Step 3: Cross multiply
    15,614x = 23,619 × 23,619
  4. Step 4: Simplify right side
    15,614x = 557,857,161
  5. Step 5: Solve for x
    x = 557,857,161/15,614
  6. Step 6: Final answer
    x = 35,728.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.