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Finding the Third Proportional to 451.75 and 975.50

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Solution

The third proportional to 451.75 and 975.50 is: 2,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 975.50 = 975.50 : x
  2. Step 2: Convert to fraction form
    451.75/975.50 = 975.50/x
  3. Step 3: Cross multiply
    451.75x = 975.50 × 975.50
  4. Step 4: Simplify right side
    451.75x = 951,600.25
  5. Step 5: Solve for x
    x = 951,600.25/451.75
  6. Step 6: Final answer
    x = 2,106.48

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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.