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Finding the Third Proportional to 2,237.13 and 5,054.38

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Solution

The third proportional to 2,237.13 and 5,054.38 is: 11,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.13 : 5,054.38 = 5,054.38 : x
  2. Step 2: Convert to fraction form
    2,237.13/5,054.38 = 5,054.38/x
  3. Step 3: Cross multiply
    2,237.13x = 5,054.38 × 5,054.38
  4. Step 4: Simplify right side
    2,237.13x = 25,546,746.13
  5. Step 5: Solve for x
    x = 25,546,746.13/2,237.13
  6. Step 6: Final answer
    x = 11,419.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.