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Finding the Third Proportional to 11,986.50 and 26,135.25

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Solution

The third proportional to 11,986.50 and 26,135.25 is: 56,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.50 : 26,135.25 = 26,135.25 : x
  2. Step 2: Convert to fraction form
    11,986.50/26,135.25 = 26,135.25/x
  3. Step 3: Cross multiply
    11,986.50x = 26,135.25 × 26,135.25
  4. Step 4: Simplify right side
    11,986.50x = 683,051,292.56
  5. Step 5: Solve for x
    x = 683,051,292.56/11,986.50
  6. Step 6: Final answer
    x = 56,985.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.