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Finding the Third Proportional to 46.51 and 97.77

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Solution

The third proportional to 46.51 and 97.77 is: 205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.51 : 97.77 = 97.77 : x
  2. Step 2: Convert to fraction form
    46.51/97.77 = 97.77/x
  3. Step 3: Cross multiply
    46.51x = 97.77 × 97.77
  4. Step 4: Simplify right side
    46.51x = 9,558.88
  5. Step 5: Solve for x
    x = 9,558.88/46.51
  6. Step 6: Final answer
    x = 205.52

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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.