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Finding the Third Proportional to 12,985.81 and 28,021.91

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Solution

The third proportional to 12,985.81 and 28,021.91 is: 60,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.81 : 28,021.91 = 28,021.91 : x
  2. Step 2: Convert to fraction form
    12,985.81/28,021.91 = 28,021.91/x
  3. Step 3: Cross multiply
    12,985.81x = 28,021.91 × 28,021.91
  4. Step 4: Simplify right side
    12,985.81x = 785,227,229.88
  5. Step 5: Solve for x
    x = 785,227,229.88/12,985.81
  6. Step 6: Final answer
    x = 60,468.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.