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Finding the Third Proportional to 7,338.41 and 11,165.66

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Solution

The third proportional to 7,338.41 and 11,165.66 is: 16,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.41 : 11,165.66 = 11,165.66 : x
  2. Step 2: Convert to fraction form
    7,338.41/11,165.66 = 11,165.66/x
  3. Step 3: Cross multiply
    7,338.41x = 11,165.66 × 11,165.66
  4. Step 4: Simplify right side
    7,338.41x = 124,671,966.72
  5. Step 5: Solve for x
    x = 124,671,966.72/7,338.41
  6. Step 6: Final answer
    x = 16,988.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.