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Finding the Third Proportional to 9,462.63 and 19,905.25

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Solution

The third proportional to 9,462.63 and 19,905.25 is: 41,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.63 : 19,905.25 = 19,905.25 : x
  2. Step 2: Convert to fraction form
    9,462.63/19,905.25 = 19,905.25/x
  3. Step 3: Cross multiply
    9,462.63x = 19,905.25 × 19,905.25
  4. Step 4: Simplify right side
    9,462.63x = 396,218,977.56
  5. Step 5: Solve for x
    x = 396,218,977.56/9,462.63
  6. Step 6: Final answer
    x = 41,871.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.