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Finding the Third Proportional to 20,136 and 46,804.50

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Solution

The third proportional to 20,136 and 46,804.50 is: 108,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 46,804.50 = 46,804.50 : x
  2. Step 2: Convert to fraction form
    20,136/46,804.50 = 46,804.50/x
  3. Step 3: Cross multiply
    20,136x = 46,804.50 × 46,804.50
  4. Step 4: Simplify right side
    20,136x = 2,190,661,220.25
  5. Step 5: Solve for x
    x = 2,190,661,220.25/20,136
  6. Step 6: Final answer
    x = 108,793.27

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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.