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Finding the Third Proportional to 733.75 and 1,145.56

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Solution

The third proportional to 733.75 and 1,145.56 is: 1,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.75 : 1,145.56 = 1,145.56 : x
  2. Step 2: Convert to fraction form
    733.75/1,145.56 = 1,145.56/x
  3. Step 3: Cross multiply
    733.75x = 1,145.56 × 1,145.56
  4. Step 4: Simplify right side
    733.75x = 1,312,313.44
  5. Step 5: Solve for x
    x = 1,312,313.44/733.75
  6. Step 6: Final answer
    x = 1,788.50

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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.