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Finding the Third Proportional to 25,122 and 38,010

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Solution

The third proportional to 25,122 and 38,010 is: 57,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,122 : 38,010 = 38,010 : x
  2. Step 2: Convert to fraction form
    25,122/38,010 = 38,010/x
  3. Step 3: Cross multiply
    25,122x = 38,010 × 38,010
  4. Step 4: Simplify right side
    25,122x = 1,444,760,100
  5. Step 5: Solve for x
    x = 1,444,760,100/25,122
  6. Step 6: Final answer
    x = 57,509.76

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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.