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Finding the Third Proportional to 9,774 and 21,732.75

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Solution

The third proportional to 9,774 and 21,732.75 is: 48,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 21,732.75 = 21,732.75 : x
  2. Step 2: Convert to fraction form
    9,774/21,732.75 = 21,732.75/x
  3. Step 3: Cross multiply
    9,774x = 21,732.75 × 21,732.75
  4. Step 4: Simplify right side
    9,774x = 472,312,422.56
  5. Step 5: Solve for x
    x = 472,312,422.56/9,774
  6. Step 6: Final answer
    x = 48,323.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.