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Finding the Third Proportional to 9,774 and 21,103.88

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Solution

The third proportional to 9,774 and 21,103.88 is: 45,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 21,103.88 = 21,103.88 : x
  2. Step 2: Convert to fraction form
    9,774/21,103.88 = 21,103.88/x
  3. Step 3: Cross multiply
    9,774x = 21,103.88 × 21,103.88
  4. Step 4: Simplify right side
    9,774x = 445,373,540.02
  5. Step 5: Solve for x
    x = 445,373,540.02/9,774
  6. Step 6: Final answer
    x = 45,567.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.