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Finding the Third Proportional to 7,822.69 and 14,415.19

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Solution

The third proportional to 7,822.69 and 14,415.19 is: 26,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.69 : 14,415.19 = 14,415.19 : x
  2. Step 2: Convert to fraction form
    7,822.69/14,415.19 = 14,415.19/x
  3. Step 3: Cross multiply
    7,822.69x = 14,415.19 × 14,415.19
  4. Step 4: Simplify right side
    7,822.69x = 207,797,630.66
  5. Step 5: Solve for x
    x = 207,797,630.66/7,822.69
  6. Step 6: Final answer
    x = 26,563.46

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.