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Finding the Third Proportional to 24,923 and 55,030

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Solution

The third proportional to 24,923 and 55,030 is: 121,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923 : 55,030 = 55,030 : x
  2. Step 2: Convert to fraction form
    24,923/55,030 = 55,030/x
  3. Step 3: Cross multiply
    24,923x = 55,030 × 55,030
  4. Step 4: Simplify right side
    24,923x = 3,028,300,900
  5. Step 5: Solve for x
    x = 3,028,300,900/24,923
  6. Step 6: Final answer
    x = 121,506.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.