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Finding the Third Proportional to 20,486 and 30,598

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Solution

The third proportional to 20,486 and 30,598 is: 45,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486 : 30,598 = 30,598 : x
  2. Step 2: Convert to fraction form
    20,486/30,598 = 30,598/x
  3. Step 3: Cross multiply
    20,486x = 30,598 × 30,598
  4. Step 4: Simplify right side
    20,486x = 936,237,604
  5. Step 5: Solve for x
    x = 936,237,604/20,486
  6. Step 6: Final answer
    x = 45,701.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.