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Finding the Third Proportional to 15,633 and 23,712.75

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Solution

The third proportional to 15,633 and 23,712.75 is: 35,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 23,712.75 = 23,712.75 : x
  2. Step 2: Convert to fraction form
    15,633/23,712.75 = 23,712.75/x
  3. Step 3: Cross multiply
    15,633x = 23,712.75 × 23,712.75
  4. Step 4: Simplify right side
    15,633x = 562,294,512.56
  5. Step 5: Solve for x
    x = 562,294,512.56/15,633
  6. Step 6: Final answer
    x = 35,968.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.