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Finding the Third Proportional to 20,521 and 44,498

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Solution

The third proportional to 20,521 and 44,498 is: 96,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521 : 44,498 = 44,498 : x
  2. Step 2: Convert to fraction form
    20,521/44,498 = 44,498/x
  3. Step 3: Cross multiply
    20,521x = 44,498 × 44,498
  4. Step 4: Simplify right side
    20,521x = 1,980,072,004
  5. Step 5: Solve for x
    x = 1,980,072,004/20,521
  6. Step 6: Final answer
    x = 96,490.03

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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.