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Finding the Third Proportional to 27,322 and 56,348

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Solution

The third proportional to 27,322 and 56,348 is: 116,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322 : 56,348 = 56,348 : x
  2. Step 2: Convert to fraction form
    27,322/56,348 = 56,348/x
  3. Step 3: Cross multiply
    27,322x = 56,348 × 56,348
  4. Step 4: Simplify right side
    27,322x = 3,175,097,104
  5. Step 5: Solve for x
    x = 3,175,097,104/27,322
  6. Step 6: Final answer
    x = 116,210.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.