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Finding the Third Proportional to 20,513 and 44,482

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Solution

The third proportional to 20,513 and 44,482 is: 96,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513 : 44,482 = 44,482 : x
  2. Step 2: Convert to fraction form
    20,513/44,482 = 44,482/x
  3. Step 3: Cross multiply
    20,513x = 44,482 × 44,482
  4. Step 4: Simplify right side
    20,513x = 1,978,648,324
  5. Step 5: Solve for x
    x = 1,978,648,324/20,513
  6. Step 6: Final answer
    x = 96,458.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.