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Finding the Third Proportional to 7,767.56 and 11,172.94

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Solution

The third proportional to 7,767.56 and 11,172.94 is: 16,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.56 : 11,172.94 = 11,172.94 : x
  2. Step 2: Convert to fraction form
    7,767.56/11,172.94 = 11,172.94/x
  3. Step 3: Cross multiply
    7,767.56x = 11,172.94 × 11,172.94
  4. Step 4: Simplify right side
    7,767.56x = 124,834,532.38
  5. Step 5: Solve for x
    x = 124,834,532.38/7,767.56
  6. Step 6: Final answer
    x = 16,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.