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Finding the Third Proportional to 7,338.09 and 12,123.42

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Solution

The third proportional to 7,338.09 and 12,123.42 is: 20,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.09 : 12,123.42 = 12,123.42 : x
  2. Step 2: Convert to fraction form
    7,338.09/12,123.42 = 12,123.42/x
  3. Step 3: Cross multiply
    7,338.09x = 12,123.42 × 12,123.42
  4. Step 4: Simplify right side
    7,338.09x = 146,977,357.96
  5. Step 5: Solve for x
    x = 146,977,357.96/7,338.09
  6. Step 6: Final answer
    x = 20,029.36

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.