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Finding the Third Proportional to 13,670 and 22,322

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Solution

The third proportional to 13,670 and 22,322 is: 36,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 22,322 = 22,322 : x
  2. Step 2: Convert to fraction form
    13,670/22,322 = 22,322/x
  3. Step 3: Cross multiply
    13,670x = 22,322 × 22,322
  4. Step 4: Simplify right side
    13,670x = 498,271,684
  5. Step 5: Solve for x
    x = 498,271,684/13,670
  6. Step 6: Final answer
    x = 36,450.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.