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Finding the Third Proportional to 16,584.75 and 35,810.44

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Solution

The third proportional to 16,584.75 and 35,810.44 is: 77,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.75 : 35,810.44 = 35,810.44 : x
  2. Step 2: Convert to fraction form
    16,584.75/35,810.44 = 35,810.44/x
  3. Step 3: Cross multiply
    16,584.75x = 35,810.44 × 35,810.44
  4. Step 4: Simplify right side
    16,584.75x = 1,282,387,433.94
  5. Step 5: Solve for x
    x = 1,282,387,433.94/16,584.75
  6. Step 6: Final answer
    x = 77,323.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.