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Finding the Third Proportional to 4,450 and 6,445

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Solution

The third proportional to 4,450 and 6,445 is: 9,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450 : 6,445 = 6,445 : x
  2. Step 2: Convert to fraction form
    4,450/6,445 = 6,445/x
  3. Step 3: Cross multiply
    4,450x = 6,445 × 6,445
  4. Step 4: Simplify right side
    4,450x = 41,538,025
  5. Step 5: Solve for x
    x = 41,538,025/4,450
  6. Step 6: Final answer
    x = 9,334.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.