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Finding the Third Proportional to 752.06 and 975.94

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Solution

The third proportional to 752.06 and 975.94 is: 1,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.06 : 975.94 = 975.94 : x
  2. Step 2: Convert to fraction form
    752.06/975.94 = 975.94/x
  3. Step 3: Cross multiply
    752.06x = 975.94 × 975.94
  4. Step 4: Simplify right side
    752.06x = 952,454.00
  5. Step 5: Solve for x
    x = 952,454.00/752.06
  6. Step 6: Final answer
    x = 1,266.46

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.