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Finding the Third Proportional to 12,562 and 25,508

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Solution

The third proportional to 12,562 and 25,508 is: 51,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562 : 25,508 = 25,508 : x
  2. Step 2: Convert to fraction form
    12,562/25,508 = 25,508/x
  3. Step 3: Cross multiply
    12,562x = 25,508 × 25,508
  4. Step 4: Simplify right side
    12,562x = 650,658,064
  5. Step 5: Solve for x
    x = 650,658,064/12,562
  6. Step 6: Final answer
    x = 51,795.74

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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.