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Finding the Third Proportional to 12,798 and 20,290.50

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Solution

The third proportional to 12,798 and 20,290.50 is: 32,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 20,290.50 = 20,290.50 : x
  2. Step 2: Convert to fraction form
    12,798/20,290.50 = 20,290.50/x
  3. Step 3: Cross multiply
    12,798x = 20,290.50 × 20,290.50
  4. Step 4: Simplify right side
    12,798x = 411,704,390.25
  5. Step 5: Solve for x
    x = 411,704,390.25/12,798
  6. Step 6: Final answer
    x = 32,169.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.