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Finding the Third Proportional to 19,747 and 46,616

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Solution

The third proportional to 19,747 and 46,616 is: 110,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747 : 46,616 = 46,616 : x
  2. Step 2: Convert to fraction form
    19,747/46,616 = 46,616/x
  3. Step 3: Cross multiply
    19,747x = 46,616 × 46,616
  4. Step 4: Simplify right side
    19,747x = 2,173,051,456
  5. Step 5: Solve for x
    x = 2,173,051,456/19,747
  6. Step 6: Final answer
    x = 110,044.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.