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Finding the Third Proportional to 14,868 and 23,616

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Solution

The third proportional to 14,868 and 23,616 is: 37,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868 : 23,616 = 23,616 : x
  2. Step 2: Convert to fraction form
    14,868/23,616 = 23,616/x
  3. Step 3: Cross multiply
    14,868x = 23,616 × 23,616
  4. Step 4: Simplify right side
    14,868x = 557,715,456
  5. Step 5: Solve for x
    x = 557,715,456/14,868
  6. Step 6: Final answer
    x = 37,511.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.