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Finding the Third Proportional to 19,536 and 46,098

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Solution

The third proportional to 19,536 and 46,098 is: 108,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 46,098 = 46,098 : x
  2. Step 2: Convert to fraction form
    19,536/46,098 = 46,098/x
  3. Step 3: Cross multiply
    19,536x = 46,098 × 46,098
  4. Step 4: Simplify right side
    19,536x = 2,125,025,604
  5. Step 5: Solve for x
    x = 2,125,025,604/19,536
  6. Step 6: Final answer
    x = 108,774.86

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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.