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Finding the Third Proportional to 1,263.75 and 1,395.75

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Solution

The third proportional to 1,263.75 and 1,395.75 is: 1,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.75 : 1,395.75 = 1,395.75 : x
  2. Step 2: Convert to fraction form
    1,263.75/1,395.75 = 1,395.75/x
  3. Step 3: Cross multiply
    1,263.75x = 1,395.75 × 1,395.75
  4. Step 4: Simplify right side
    1,263.75x = 1,948,118.06
  5. Step 5: Solve for x
    x = 1,948,118.06/1,263.75
  6. Step 6: Final answer
    x = 1,541.54

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.