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Finding the Third Proportional to 12,122 and 25,468

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Solution

The third proportional to 12,122 and 25,468 is: 53,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 25,468 = 25,468 : x
  2. Step 2: Convert to fraction form
    12,122/25,468 = 25,468/x
  3. Step 3: Cross multiply
    12,122x = 25,468 × 25,468
  4. Step 4: Simplify right side
    12,122x = 648,619,024
  5. Step 5: Solve for x
    x = 648,619,024/12,122
  6. Step 6: Final answer
    x = 53,507.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.