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Finding the Third Proportional to 12,370 and 25,131

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Solution

The third proportional to 12,370 and 25,131 is: 51,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370 : 25,131 = 25,131 : x
  2. Step 2: Convert to fraction form
    12,370/25,131 = 25,131/x
  3. Step 3: Cross multiply
    12,370x = 25,131 × 25,131
  4. Step 4: Simplify right side
    12,370x = 631,567,161
  5. Step 5: Solve for x
    x = 631,567,161/12,370
  6. Step 6: Final answer
    x = 51,056.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.