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Finding the Third Proportional to 9,774 and 20,520

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Solution

The third proportional to 9,774 and 20,520 is: 43,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 20,520 = 20,520 : x
  2. Step 2: Convert to fraction form
    9,774/20,520 = 20,520/x
  3. Step 3: Cross multiply
    9,774x = 20,520 × 20,520
  4. Step 4: Simplify right side
    9,774x = 421,070,400
  5. Step 5: Solve for x
    x = 421,070,400/9,774
  6. Step 6: Final answer
    x = 43,080.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.