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Finding the Third Proportional to 4.51 and 9.73

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Solution

The third proportional to 4.51 and 9.73 is: 21.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.51 : 9.73 = 9.73 : x
  2. Step 2: Convert to fraction form
    4.51/9.73 = 9.73/x
  3. Step 3: Cross multiply
    4.51x = 9.73 × 9.73
  4. Step 4: Simplify right side
    4.51x = 94.66
  5. Step 5: Solve for x
    x = 94.66/4.51
  6. Step 6: Final answer
    x = 21.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.