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Finding the Third Proportional to 20,679 and 45,290

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Solution

The third proportional to 20,679 and 45,290 is: 99,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679 : 45,290 = 45,290 : x
  2. Step 2: Convert to fraction form
    20,679/45,290 = 45,290/x
  3. Step 3: Cross multiply
    20,679x = 45,290 × 45,290
  4. Step 4: Simplify right side
    20,679x = 2,051,184,100
  5. Step 5: Solve for x
    x = 2,051,184,100/20,679
  6. Step 6: Final answer
    x = 99,191.65

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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.