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Finding the Third Proportional to 25,124 and 38,013

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Solution

The third proportional to 25,124 and 38,013 is: 57,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,124 : 38,013 = 38,013 : x
  2. Step 2: Convert to fraction form
    25,124/38,013 = 38,013/x
  3. Step 3: Cross multiply
    25,124x = 38,013 × 38,013
  4. Step 4: Simplify right side
    25,124x = 1,444,988,169
  5. Step 5: Solve for x
    x = 1,444,988,169/25,124
  6. Step 6: Final answer
    x = 57,514.26

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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.