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Finding the Third Proportional to 1,597.85 and 2,447.40

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Solution

The third proportional to 1,597.85 and 2,447.40 is: 3,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.85 : 2,447.40 = 2,447.40 : x
  2. Step 2: Convert to fraction form
    1,597.85/2,447.40 = 2,447.40/x
  3. Step 3: Cross multiply
    1,597.85x = 2,447.40 × 2,447.40
  4. Step 4: Simplify right side
    1,597.85x = 5,989,778.23
  5. Step 5: Solve for x
    x = 5,989,778.23/1,597.85
  6. Step 6: Final answer
    x = 3,748.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.