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Finding the Third Proportional to 7,828.03 and 13,796.36

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Solution

The third proportional to 7,828.03 and 13,796.36 is: 24,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.03 : 13,796.36 = 13,796.36 : x
  2. Step 2: Convert to fraction form
    7,828.03/13,796.36 = 13,796.36/x
  3. Step 3: Cross multiply
    7,828.03x = 13,796.36 × 13,796.36
  4. Step 4: Simplify right side
    7,828.03x = 190,339,565.69
  5. Step 5: Solve for x
    x = 190,339,565.69/7,828.03
  6. Step 6: Final answer
    x = 24,315.13

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.