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Finding the Third Proportional to 26,684.63 and 41,858.63

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Solution

The third proportional to 26,684.63 and 41,858.63 is: 65,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.63 : 41,858.63 = 41,858.63 : x
  2. Step 2: Convert to fraction form
    26,684.63/41,858.63 = 41,858.63/x
  3. Step 3: Cross multiply
    26,684.63x = 41,858.63 × 41,858.63
  4. Step 4: Simplify right side
    26,684.63x = 1,752,144,486.89
  5. Step 5: Solve for x
    x = 1,752,144,486.89/26,684.63
  6. Step 6: Final answer
    x = 65,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.