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Finding the Third Proportional to 11,681 and 18,137.50

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Solution

The third proportional to 11,681 and 18,137.50 is: 28,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681 : 18,137.50 = 18,137.50 : x
  2. Step 2: Convert to fraction form
    11,681/18,137.50 = 18,137.50/x
  3. Step 3: Cross multiply
    11,681x = 18,137.50 × 18,137.50
  4. Step 4: Simplify right side
    11,681x = 328,968,906.25
  5. Step 5: Solve for x
    x = 328,968,906.25/11,681
  6. Step 6: Final answer
    x = 28,162.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.