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Finding the Third Proportional to 1,458 and 3,146.34

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Solution

The third proportional to 1,458 and 3,146.34 is: 6,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458 : 3,146.34 = 3,146.34 : x
  2. Step 2: Convert to fraction form
    1,458/3,146.34 = 3,146.34/x
  3. Step 3: Cross multiply
    1,458x = 3,146.34 × 3,146.34
  4. Step 4: Simplify right side
    1,458x = 9,899,478.99
  5. Step 5: Solve for x
    x = 9,899,478.99/1,458
  6. Step 6: Final answer
    x = 6,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.