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Finding the Third Proportional to 675.63 and 1,466.02

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Solution

The third proportional to 675.63 and 1,466.02 is: 3,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.63 : 1,466.02 = 1,466.02 : x
  2. Step 2: Convert to fraction form
    675.63/1,466.02 = 1,466.02/x
  3. Step 3: Cross multiply
    675.63x = 1,466.02 × 1,466.02
  4. Step 4: Simplify right side
    675.63x = 2,149,201.81
  5. Step 5: Solve for x
    x = 2,149,201.81/675.63
  6. Step 6: Final answer
    x = 3,181.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.