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Finding the Third Proportional to 9,771.75 and 21,063.94

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Solution

The third proportional to 9,771.75 and 21,063.94 is: 45,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.75 : 21,063.94 = 21,063.94 : x
  2. Step 2: Convert to fraction form
    9,771.75/21,063.94 = 21,063.94/x
  3. Step 3: Cross multiply
    9,771.75x = 21,063.94 × 21,063.94
  4. Step 4: Simplify right side
    9,771.75x = 443,689,463.00
  5. Step 5: Solve for x
    x = 443,689,463.00/9,771.75
  6. Step 6: Final answer
    x = 45,405.32

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