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Finding the Third Proportional to 4,715.51 and 10,172.04

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Solution

The third proportional to 4,715.51 and 10,172.04 is: 21,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.51 : 10,172.04 = 10,172.04 : x
  2. Step 2: Convert to fraction form
    4,715.51/10,172.04 = 10,172.04/x
  3. Step 3: Cross multiply
    4,715.51x = 10,172.04 × 10,172.04
  4. Step 4: Simplify right side
    4,715.51x = 103,470,378.69
  5. Step 5: Solve for x
    x = 103,470,378.69/4,715.51
  6. Step 6: Final answer
    x = 21,942.57

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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.