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Finding the Third Proportional to 10.02 and 23.05

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Solution

The third proportional to 10.02 and 23.05 is: 53.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.02 : 23.05 = 23.05 : x
  2. Step 2: Convert to fraction form
    10.02/23.05 = 23.05/x
  3. Step 3: Cross multiply
    10.02x = 23.05 × 23.05
  4. Step 4: Simplify right side
    10.02x = 531.21
  5. Step 5: Solve for x
    x = 531.21/10.02
  6. Step 6: Final answer
    x = 53.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.