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Finding the Third Proportional to 6,628 and 15,322

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Solution

The third proportional to 6,628 and 15,322 is: 35,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628 : 15,322 = 15,322 : x
  2. Step 2: Convert to fraction form
    6,628/15,322 = 15,322/x
  3. Step 3: Cross multiply
    6,628x = 15,322 × 15,322
  4. Step 4: Simplify right side
    6,628x = 234,763,684
  5. Step 5: Solve for x
    x = 234,763,684/6,628
  6. Step 6: Final answer
    x = 35,419.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.