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Finding the Third Proportional to 13,322 and 20,719

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Solution

The third proportional to 13,322 and 20,719 is: 32,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322 : 20,719 = 20,719 : x
  2. Step 2: Convert to fraction form
    13,322/20,719 = 20,719/x
  3. Step 3: Cross multiply
    13,322x = 20,719 × 20,719
  4. Step 4: Simplify right side
    13,322x = 429,276,961
  5. Step 5: Solve for x
    x = 429,276,961/13,322
  6. Step 6: Final answer
    x = 32,223.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.