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Finding the Third Proportional to 46.51 and 102.36

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Solution

The third proportional to 46.51 and 102.36 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.51 : 102.36 = 102.36 : x
  2. Step 2: Convert to fraction form
    46.51/102.36 = 102.36/x
  3. Step 3: Cross multiply
    46.51x = 102.36 × 102.36
  4. Step 4: Simplify right side
    46.51x = 10,477.04
  5. Step 5: Solve for x
    x = 10,477.04/46.51
  6. Step 6: Final answer
    x = 225.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.