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Finding the Third Proportional to 1,004.63 and 2,058.19

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Solution

The third proportional to 1,004.63 and 2,058.19 is: 4,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.63 : 2,058.19 = 2,058.19 : x
  2. Step 2: Convert to fraction form
    1,004.63/2,058.19 = 2,058.19/x
  3. Step 3: Cross multiply
    1,004.63x = 2,058.19 × 2,058.19
  4. Step 4: Simplify right side
    1,004.63x = 4,236,135.79
  5. Step 5: Solve for x
    x = 4,236,135.79/1,004.63
  6. Step 6: Final answer
    x = 4,216.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.