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Finding the Third Proportional to 24,598 and 53,923

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Solution

The third proportional to 24,598 and 53,923 is: 118,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 53,923 = 53,923 : x
  2. Step 2: Convert to fraction form
    24,598/53,923 = 53,923/x
  3. Step 3: Cross multiply
    24,598x = 53,923 × 53,923
  4. Step 4: Simplify right side
    24,598x = 2,907,689,929
  5. Step 5: Solve for x
    x = 2,907,689,929/24,598
  6. Step 6: Final answer
    x = 118,208.39

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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.