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Finding the Third Proportional to 813.75 and 1,266.38

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Solution

The third proportional to 813.75 and 1,266.38 is: 1,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,266.38 = 1,266.38 : x
  2. Step 2: Convert to fraction form
    813.75/1,266.38 = 1,266.38/x
  3. Step 3: Cross multiply
    813.75x = 1,266.38 × 1,266.38
  4. Step 4: Simplify right side
    813.75x = 1,603,705.64
  5. Step 5: Solve for x
    x = 1,603,705.64/813.75
  6. Step 6: Final answer
    x = 1,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.