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Finding the Third Proportional to 23,266 and 37,057.25

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Solution

The third proportional to 23,266 and 37,057.25 is: 59,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266 : 37,057.25 = 37,057.25 : x
  2. Step 2: Convert to fraction form
    23,266/37,057.25 = 37,057.25/x
  3. Step 3: Cross multiply
    23,266x = 37,057.25 × 37,057.25
  4. Step 4: Simplify right side
    23,266x = 1,373,239,777.56
  5. Step 5: Solve for x
    x = 1,373,239,777.56/23,266
  6. Step 6: Final answer
    x = 59,023.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.