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Finding the Third Proportional to 45.51 and 97.93

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Solution

The third proportional to 45.51 and 97.93 is: 210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.51 : 97.93 = 97.93 : x
  2. Step 2: Convert to fraction form
    45.51/97.93 = 97.93/x
  3. Step 3: Cross multiply
    45.51x = 97.93 × 97.93
  4. Step 4: Simplify right side
    45.51x = 9,589.84
  5. Step 5: Solve for x
    x = 9,589.84/45.51
  6. Step 6: Final answer
    x = 210.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.