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Finding the Third Proportional to 8,890 and 12,704.50

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Solution

The third proportional to 8,890 and 12,704.50 is: 18,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,890 : 12,704.50 = 12,704.50 : x
  2. Step 2: Convert to fraction form
    8,890/12,704.50 = 12,704.50/x
  3. Step 3: Cross multiply
    8,890x = 12,704.50 × 12,704.50
  4. Step 4: Simplify right side
    8,890x = 161,404,320.25
  5. Step 5: Solve for x
    x = 161,404,320.25/8,890
  6. Step 6: Final answer
    x = 18,155.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.