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Finding the Third Proportional to 1,460.85 and 3,214.29

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Solution

The third proportional to 1,460.85 and 3,214.29 is: 7,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.85 : 3,214.29 = 3,214.29 : x
  2. Step 2: Convert to fraction form
    1,460.85/3,214.29 = 3,214.29/x
  3. Step 3: Cross multiply
    1,460.85x = 3,214.29 × 3,214.29
  4. Step 4: Simplify right side
    1,460.85x = 10,331,673.01
  5. Step 5: Solve for x
    x = 10,331,673.01/1,460.85
  6. Step 6: Final answer
    x = 7,072.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.