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Finding the Third Proportional to 25,479 and 42,456

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Solution

The third proportional to 25,479 and 42,456 is: 70,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479 : 42,456 = 42,456 : x
  2. Step 2: Convert to fraction form
    25,479/42,456 = 42,456/x
  3. Step 3: Cross multiply
    25,479x = 42,456 × 42,456
  4. Step 4: Simplify right side
    25,479x = 1,802,511,936
  5. Step 5: Solve for x
    x = 1,802,511,936/25,479
  6. Step 6: Final answer
    x = 70,745.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.