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Finding the Third Proportional to 20,560 and 44,039

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Solution

The third proportional to 20,560 and 44,039 is: 94,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 44,039 = 44,039 : x
  2. Step 2: Convert to fraction form
    20,560/44,039 = 44,039/x
  3. Step 3: Cross multiply
    20,560x = 44,039 × 44,039
  4. Step 4: Simplify right side
    20,560x = 1,939,433,521
  5. Step 5: Solve for x
    x = 1,939,433,521/20,560
  6. Step 6: Final answer
    x = 94,330.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.