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Finding the Third Proportional to 788.48 and 1,451.67

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Solution

The third proportional to 788.48 and 1,451.67 is: 2,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,451.67 = 1,451.67 : x
  2. Step 2: Convert to fraction form
    788.48/1,451.67 = 1,451.67/x
  3. Step 3: Cross multiply
    788.48x = 1,451.67 × 1,451.67
  4. Step 4: Simplify right side
    788.48x = 2,107,351.23
  5. Step 5: Solve for x
    x = 2,107,351.23/788.48
  6. Step 6: Final answer
    x = 2,672.66

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.