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Finding the Third Proportional to 21,329 and 49,584

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Solution

The third proportional to 21,329 and 49,584 is: 115,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329 : 49,584 = 49,584 : x
  2. Step 2: Convert to fraction form
    21,329/49,584 = 49,584/x
  3. Step 3: Cross multiply
    21,329x = 49,584 × 49,584
  4. Step 4: Simplify right side
    21,329x = 2,458,573,056
  5. Step 5: Solve for x
    x = 2,458,573,056/21,329
  6. Step 6: Final answer
    x = 115,269.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.