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Finding the Third Proportional to 4,923.07 and 10,802.74

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Solution

The third proportional to 4,923.07 and 10,802.74 is: 23,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.07 : 10,802.74 = 10,802.74 : x
  2. Step 2: Convert to fraction form
    4,923.07/10,802.74 = 10,802.74/x
  3. Step 3: Cross multiply
    4,923.07x = 10,802.74 × 10,802.74
  4. Step 4: Simplify right side
    4,923.07x = 116,699,238.77
  5. Step 5: Solve for x
    x = 116,699,238.77/4,923.07
  6. Step 6: Final answer
    x = 23,704.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.