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Finding the Third Proportional to 12,322 and 26,348

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Solution

The third proportional to 12,322 and 26,348 is: 56,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322 : 26,348 = 26,348 : x
  2. Step 2: Convert to fraction form
    12,322/26,348 = 26,348/x
  3. Step 3: Cross multiply
    12,322x = 26,348 × 26,348
  4. Step 4: Simplify right side
    12,322x = 694,217,104
  5. Step 5: Solve for x
    x = 694,217,104/12,322
  6. Step 6: Final answer
    x = 56,339.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.