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Finding the Third Proportional to 12,121.50 and 16,587.50

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Solution

The third proportional to 12,121.50 and 16,587.50 is: 22,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.50 : 16,587.50 = 16,587.50 : x
  2. Step 2: Convert to fraction form
    12,121.50/16,587.50 = 16,587.50/x
  3. Step 3: Cross multiply
    12,121.50x = 16,587.50 × 16,587.50
  4. Step 4: Simplify right side
    12,121.50x = 275,145,156.25
  5. Step 5: Solve for x
    x = 275,145,156.25/12,121.50
  6. Step 6: Final answer
    x = 22,698.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.