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Finding the Third Proportional to 10,828.69 and 13,137.19

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Solution

The third proportional to 10,828.69 and 13,137.19 is: 15,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.69 : 13,137.19 = 13,137.19 : x
  2. Step 2: Convert to fraction form
    10,828.69/13,137.19 = 13,137.19/x
  3. Step 3: Cross multiply
    10,828.69x = 13,137.19 × 13,137.19
  4. Step 4: Simplify right side
    10,828.69x = 172,585,695.41
  5. Step 5: Solve for x
    x = 172,585,695.41/10,828.69
  6. Step 6: Final answer
    x = 15,937.82

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.