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Finding the Third Proportional to 12,374 and 25,963

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Solution

The third proportional to 12,374 and 25,963 is: 54,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 25,963 = 25,963 : x
  2. Step 2: Convert to fraction form
    12,374/25,963 = 25,963/x
  3. Step 3: Cross multiply
    12,374x = 25,963 × 25,963
  4. Step 4: Simplify right side
    12,374x = 674,077,369
  5. Step 5: Solve for x
    x = 674,077,369/12,374
  6. Step 6: Final answer
    x = 54,475.30

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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.