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Finding the Third Proportional to 4,824.23 and 10,559.71

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Solution

The third proportional to 4,824.23 and 10,559.71 is: 23,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.23 : 10,559.71 = 10,559.71 : x
  2. Step 2: Convert to fraction form
    4,824.23/10,559.71 = 10,559.71/x
  3. Step 3: Cross multiply
    4,824.23x = 10,559.71 × 10,559.71
  4. Step 4: Simplify right side
    4,824.23x = 111,507,412.59
  5. Step 5: Solve for x
    x = 111,507,412.59/4,824.23
  6. Step 6: Final answer
    x = 23,114.04

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