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Finding the Third Proportional to 745.35 and 1,613.46

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Solution

The third proportional to 745.35 and 1,613.46 is: 3,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,613.46 = 1,613.46 : x
  2. Step 2: Convert to fraction form
    745.35/1,613.46 = 1,613.46/x
  3. Step 3: Cross multiply
    745.35x = 1,613.46 × 1,613.46
  4. Step 4: Simplify right side
    745.35x = 2,603,256.20
  5. Step 5: Solve for x
    x = 2,603,256.20/745.35
  6. Step 6: Final answer
    x = 3,492.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.