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Finding the Third Proportional to 12,111.75 and 18,706.50

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Solution

The third proportional to 12,111.75 and 18,706.50 is: 28,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.75 : 18,706.50 = 18,706.50 : x
  2. Step 2: Convert to fraction form
    12,111.75/18,706.50 = 18,706.50/x
  3. Step 3: Cross multiply
    12,111.75x = 18,706.50 × 18,706.50
  4. Step 4: Simplify right side
    12,111.75x = 349,933,142.25
  5. Step 5: Solve for x
    x = 349,933,142.25/12,111.75
  6. Step 6: Final answer
    x = 28,892.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.