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Finding the Third Proportional to 1,058.06 and 2,212.95

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Solution

The third proportional to 1,058.06 and 2,212.95 is: 4,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.06 : 2,212.95 = 2,212.95 : x
  2. Step 2: Convert to fraction form
    1,058.06/2,212.95 = 2,212.95/x
  3. Step 3: Cross multiply
    1,058.06x = 2,212.95 × 2,212.95
  4. Step 4: Simplify right side
    1,058.06x = 4,897,126.96
  5. Step 5: Solve for x
    x = 4,897,126.96/1,058.06
  6. Step 6: Final answer
    x = 4,628.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.