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Finding the Third Proportional to 26,859 and 37,756.50

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Solution

The third proportional to 26,859 and 37,756.50 is: 53,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,859 : 37,756.50 = 37,756.50 : x
  2. Step 2: Convert to fraction form
    26,859/37,756.50 = 37,756.50/x
  3. Step 3: Cross multiply
    26,859x = 37,756.50 × 37,756.50
  4. Step 4: Simplify right side
    26,859x = 1,425,553,292.25
  5. Step 5: Solve for x
    x = 1,425,553,292.25/26,859
  6. Step 6: Final answer
    x = 53,075.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.