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Finding the Third Proportional to 10.48 and 22.01

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Solution

The third proportional to 10.48 and 22.01 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.48 : 22.01 = 22.01 : x
  2. Step 2: Convert to fraction form
    10.48/22.01 = 22.01/x
  3. Step 3: Cross multiply
    10.48x = 22.01 × 22.01
  4. Step 4: Simplify right side
    10.48x = 484.34
  5. Step 5: Solve for x
    x = 484.34/10.48
  6. Step 6: Final answer
    x = 46.23

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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.