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Finding the Third Proportional to 26,986.50 and 63,855

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Solution

The third proportional to 26,986.50 and 63,855 is: 151,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986.50 : 63,855 = 63,855 : x
  2. Step 2: Convert to fraction form
    26,986.50/63,855 = 63,855/x
  3. Step 3: Cross multiply
    26,986.50x = 63,855 × 63,855
  4. Step 4: Simplify right side
    26,986.50x = 4,077,461,025
  5. Step 5: Solve for x
    x = 4,077,461,025/26,986.50
  6. Step 6: Final answer
    x = 151,092.62

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.