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Finding the Third Proportional to 1,461.80 and 3,193.17

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Solution

The third proportional to 1,461.80 and 3,193.17 is: 6,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 3,193.17 = 3,193.17 : x
  2. Step 2: Convert to fraction form
    1,461.80/3,193.17 = 3,193.17/x
  3. Step 3: Cross multiply
    1,461.80x = 3,193.17 × 3,193.17
  4. Step 4: Simplify right side
    1,461.80x = 10,196,346.62
  5. Step 5: Solve for x
    x = 10,196,346.62/1,461.80
  6. Step 6: Final answer
    x = 6,975.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.