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Finding the Third Proportional to 6,358 and 13,422

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Solution

The third proportional to 6,358 and 13,422 is: 28,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358 : 13,422 = 13,422 : x
  2. Step 2: Convert to fraction form
    6,358/13,422 = 13,422/x
  3. Step 3: Cross multiply
    6,358x = 13,422 × 13,422
  4. Step 4: Simplify right side
    6,358x = 180,150,084
  5. Step 5: Solve for x
    x = 180,150,084/6,358
  6. Step 6: Final answer
    x = 28,334.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.