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Finding the Third Proportional to 8,129 and 12,021.50

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Solution

The third proportional to 8,129 and 12,021.50 is: 17,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 12,021.50 = 12,021.50 : x
  2. Step 2: Convert to fraction form
    8,129/12,021.50 = 12,021.50/x
  3. Step 3: Cross multiply
    8,129x = 12,021.50 × 12,021.50
  4. Step 4: Simplify right side
    8,129x = 144,516,462.25
  5. Step 5: Solve for x
    x = 144,516,462.25/8,129
  6. Step 6: Final answer
    x = 17,777.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.