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Finding the Third Proportional to 20,984 and 46,114

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Solution

The third proportional to 20,984 and 46,114 is: 101,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 46,114 = 46,114 : x
  2. Step 2: Convert to fraction form
    20,984/46,114 = 46,114/x
  3. Step 3: Cross multiply
    20,984x = 46,114 × 46,114
  4. Step 4: Simplify right side
    20,984x = 2,126,500,996
  5. Step 5: Solve for x
    x = 2,126,500,996/20,984
  6. Step 6: Final answer
    x = 101,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.