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Finding the Third Proportional to 35,595 and 51,556.50

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Solution

The third proportional to 35,595 and 51,556.50 is: 74,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,595 : 51,556.50 = 51,556.50 : x
  2. Step 2: Convert to fraction form
    35,595/51,556.50 = 51,556.50/x
  3. Step 3: Cross multiply
    35,595x = 51,556.50 × 51,556.50
  4. Step 4: Simplify right side
    35,595x = 2,658,072,692.25
  5. Step 5: Solve for x
    x = 2,658,072,692.25/35,595
  6. Step 6: Final answer
    x = 74,675.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.