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Finding the Third Proportional to 20,464 and 44,830

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Solution

The third proportional to 20,464 and 44,830 is: 98,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 44,830 = 44,830 : x
  2. Step 2: Convert to fraction form
    20,464/44,830 = 44,830/x
  3. Step 3: Cross multiply
    20,464x = 44,830 × 44,830
  4. Step 4: Simplify right side
    20,464x = 2,009,728,900
  5. Step 5: Solve for x
    x = 2,009,728,900/20,464
  6. Step 6: Final answer
    x = 98,208.02

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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.