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Finding the Third Proportional to 12,374 and 25,352

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Solution

The third proportional to 12,374 and 25,352 is: 51,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 25,352 = 25,352 : x
  2. Step 2: Convert to fraction form
    12,374/25,352 = 25,352/x
  3. Step 3: Cross multiply
    12,374x = 25,352 × 25,352
  4. Step 4: Simplify right side
    12,374x = 642,723,904
  5. Step 5: Solve for x
    x = 642,723,904/12,374
  6. Step 6: Final answer
    x = 51,941.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.