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Finding the Third Proportional to 5,980.50 and 13,008.38

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Solution

The third proportional to 5,980.50 and 13,008.38 is: 28,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.50 : 13,008.38 = 13,008.38 : x
  2. Step 2: Convert to fraction form
    5,980.50/13,008.38 = 13,008.38/x
  3. Step 3: Cross multiply
    5,980.50x = 13,008.38 × 13,008.38
  4. Step 4: Simplify right side
    5,980.50x = 169,217,820.14
  5. Step 5: Solve for x
    x = 169,217,820.14/5,980.50
  6. Step 6: Final answer
    x = 28,294.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.