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Finding the Third Proportional to 6,822.98 and 14,602.78

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Solution

The third proportional to 6,822.98 and 14,602.78 is: 31,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.98 : 14,602.78 = 14,602.78 : x
  2. Step 2: Convert to fraction form
    6,822.98/14,602.78 = 14,602.78/x
  3. Step 3: Cross multiply
    6,822.98x = 14,602.78 × 14,602.78
  4. Step 4: Simplify right side
    6,822.98x = 213,241,220.24
  5. Step 5: Solve for x
    x = 213,241,220.24/6,822.98
  6. Step 6: Final answer
    x = 31,253.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.