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Finding the Third Proportional to 514.47 and 1,112.03

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Solution

The third proportional to 514.47 and 1,112.03 is: 2,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 1,112.03 = 1,112.03 : x
  2. Step 2: Convert to fraction form
    514.47/1,112.03 = 1,112.03/x
  3. Step 3: Cross multiply
    514.47x = 1,112.03 × 1,112.03
  4. Step 4: Simplify right side
    514.47x = 1,236,613.50
  5. Step 5: Solve for x
    x = 1,236,613.50/514.47
  6. Step 6: Final answer
    x = 2,403.67

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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.