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Finding the Third Proportional to 8,973 and 12,591

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Solution

The third proportional to 8,973 and 12,591 is: 17,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 12,591 = 12,591 : x
  2. Step 2: Convert to fraction form
    8,973/12,591 = 12,591/x
  3. Step 3: Cross multiply
    8,973x = 12,591 × 12,591
  4. Step 4: Simplify right side
    8,973x = 158,533,281
  5. Step 5: Solve for x
    x = 158,533,281/8,973
  6. Step 6: Final answer
    x = 17,667.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.