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Finding the Third Proportional to 9.53 and 20.00

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Solution

The third proportional to 9.53 and 20.00 is: 42.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.53 : 20.00 = 20.00 : x
  2. Step 2: Convert to fraction form
    9.53/20.00 = 20.00/x
  3. Step 3: Cross multiply
    9.53x = 20.00 × 20.00
  4. Step 4: Simplify right side
    9.53x = 400.16
  5. Step 5: Solve for x
    x = 400.16/9.53
  6. Step 6: Final answer
    x = 42.00

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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.