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Finding the Third Proportional to 36,396 and 51,556.50

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Solution

The third proportional to 36,396 and 51,556.50 is: 73,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,396 : 51,556.50 = 51,556.50 : x
  2. Step 2: Convert to fraction form
    36,396/51,556.50 = 51,556.50/x
  3. Step 3: Cross multiply
    36,396x = 51,556.50 × 51,556.50
  4. Step 4: Simplify right side
    36,396x = 2,658,072,692.25
  5. Step 5: Solve for x
    x = 2,658,072,692.25/36,396
  6. Step 6: Final answer
    x = 73,032.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.