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Finding the Third Proportional to 9,647.44 and 19,563.19

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Solution

The third proportional to 9,647.44 and 19,563.19 is: 39,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.44 : 19,563.19 = 19,563.19 : x
  2. Step 2: Convert to fraction form
    9,647.44/19,563.19 = 19,563.19/x
  3. Step 3: Cross multiply
    9,647.44x = 19,563.19 × 19,563.19
  4. Step 4: Simplify right side
    9,647.44x = 382,718,305.16
  5. Step 5: Solve for x
    x = 382,718,305.16/9,647.44
  6. Step 6: Final answer
    x = 39,670.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.