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Finding the Third Proportional to 19,584 and 46,191

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Solution

The third proportional to 19,584 and 46,191 is: 108,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584 : 46,191 = 46,191 : x
  2. Step 2: Convert to fraction form
    19,584/46,191 = 46,191/x
  3. Step 3: Cross multiply
    19,584x = 46,191 × 46,191
  4. Step 4: Simplify right side
    19,584x = 2,133,608,481
  5. Step 5: Solve for x
    x = 2,133,608,481/19,584
  6. Step 6: Final answer
    x = 108,946.51

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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.