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Finding the Third Proportional to 20,764 and 45,556

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Solution

The third proportional to 20,764 and 45,556 is: 99,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 45,556 = 45,556 : x
  2. Step 2: Convert to fraction form
    20,764/45,556 = 45,556/x
  3. Step 3: Cross multiply
    20,764x = 45,556 × 45,556
  4. Step 4: Simplify right side
    20,764x = 2,075,349,136
  5. Step 5: Solve for x
    x = 2,075,349,136/20,764
  6. Step 6: Final answer
    x = 99,949.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.