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Finding the Third Proportional to 11,876.63 and 17,860.50

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Solution

The third proportional to 11,876.63 and 17,860.50 is: 26,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.63 : 17,860.50 = 17,860.50 : x
  2. Step 2: Convert to fraction form
    11,876.63/17,860.50 = 17,860.50/x
  3. Step 3: Cross multiply
    11,876.63x = 17,860.50 × 17,860.50
  4. Step 4: Simplify right side
    11,876.63x = 318,997,460.25
  5. Step 5: Solve for x
    x = 318,997,460.25/11,876.63
  6. Step 6: Final answer
    x = 26,859.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.