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Finding the Third Proportional to 673.00 and 1,461.32

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Solution

The third proportional to 673.00 and 1,461.32 is: 3,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.00 : 1,461.32 = 1,461.32 : x
  2. Step 2: Convert to fraction form
    673.00/1,461.32 = 1,461.32/x
  3. Step 3: Cross multiply
    673.00x = 1,461.32 × 1,461.32
  4. Step 4: Simplify right side
    673.00x = 2,135,462.76
  5. Step 5: Solve for x
    x = 2,135,462.76/673.00
  6. Step 6: Final answer
    x = 3,173.07

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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.