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Finding the Third Proportional to 11,090.25 and 26,763.75

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Solution

The third proportional to 11,090.25 and 26,763.75 is: 64,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.25 : 26,763.75 = 26,763.75 : x
  2. Step 2: Convert to fraction form
    11,090.25/26,763.75 = 26,763.75/x
  3. Step 3: Cross multiply
    11,090.25x = 26,763.75 × 26,763.75
  4. Step 4: Simplify right side
    11,090.25x = 716,298,314.06
  5. Step 5: Solve for x
    x = 716,298,314.06/11,090.25
  6. Step 6: Final answer
    x = 64,588.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.