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Finding the Third Proportional to 26,853.19 and 34,075.69

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Solution

The third proportional to 26,853.19 and 34,075.69 is: 43,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,853.19 : 34,075.69 = 34,075.69 : x
  2. Step 2: Convert to fraction form
    26,853.19/34,075.69 = 34,075.69/x
  3. Step 3: Cross multiply
    26,853.19x = 34,075.69 × 34,075.69
  4. Step 4: Simplify right side
    26,853.19x = 1,161,152,478.60
  5. Step 5: Solve for x
    x = 1,161,152,478.60/26,853.19
  6. Step 6: Final answer
    x = 43,240.77

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.