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Finding the Third Proportional to 26,802.26 and 57,071.06

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Solution

The third proportional to 26,802.26 and 57,071.06 is: 121,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802.26 : 57,071.06 = 57,071.06 : x
  2. Step 2: Convert to fraction form
    26,802.26/57,071.06 = 57,071.06/x
  3. Step 3: Cross multiply
    26,802.26x = 57,071.06 × 57,071.06
  4. Step 4: Simplify right side
    26,802.26x = 3,257,106,174.88
  5. Step 5: Solve for x
    x = 3,257,106,174.88/26,802.26
  6. Step 6: Final answer
    x = 121,523.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.