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Finding the Third Proportional to 451 and 955.25

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Solution

The third proportional to 451 and 955.25 is: 2,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 955.25 = 955.25 : x
  2. Step 2: Convert to fraction form
    451/955.25 = 955.25/x
  3. Step 3: Cross multiply
    451x = 955.25 × 955.25
  4. Step 4: Simplify right side
    451x = 912,502.56
  5. Step 5: Solve for x
    x = 912,502.56/451
  6. Step 6: Final answer
    x = 2,023.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.