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Finding the Third Proportional to 13,002.75 and 28,009.13

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Solution

The third proportional to 13,002.75 and 28,009.13 is: 60,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.75 : 28,009.13 = 28,009.13 : x
  2. Step 2: Convert to fraction form
    13,002.75/28,009.13 = 28,009.13/x
  3. Step 3: Cross multiply
    13,002.75x = 28,009.13 × 28,009.13
  4. Step 4: Simplify right side
    13,002.75x = 784,511,083.27
  5. Step 5: Solve for x
    x = 784,511,083.27/13,002.75
  6. Step 6: Final answer
    x = 60,334.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.