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Finding the Third Proportional to 15,471 and 23,415.75

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Solution

The third proportional to 15,471 and 23,415.75 is: 35,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 23,415.75 = 23,415.75 : x
  2. Step 2: Convert to fraction form
    15,471/23,415.75 = 23,415.75/x
  3. Step 3: Cross multiply
    15,471x = 23,415.75 × 23,415.75
  4. Step 4: Simplify right side
    15,471x = 548,297,348.06
  5. Step 5: Solve for x
    x = 548,297,348.06/15,471
  6. Step 6: Final answer
    x = 35,440.33

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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.