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Finding the Third Proportional to 12,866.34 and 28,190.53

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Solution

The third proportional to 12,866.34 and 28,190.53 is: 61,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.34 : 28,190.53 = 28,190.53 : x
  2. Step 2: Convert to fraction form
    12,866.34/28,190.53 = 28,190.53/x
  3. Step 3: Cross multiply
    12,866.34x = 28,190.53 × 28,190.53
  4. Step 4: Simplify right side
    12,866.34x = 794,706,052.16
  5. Step 5: Solve for x
    x = 794,706,052.16/12,866.34
  6. Step 6: Final answer
    x = 61,766.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.