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Finding the Third Proportional to 11,341.27 and 17,442.84

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Solution

The third proportional to 11,341.27 and 17,442.84 is: 26,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.27 : 17,442.84 = 17,442.84 : x
  2. Step 2: Convert to fraction form
    11,341.27/17,442.84 = 17,442.84/x
  3. Step 3: Cross multiply
    11,341.27x = 17,442.84 × 17,442.84
  4. Step 4: Simplify right side
    11,341.27x = 304,252,798.09
  5. Step 5: Solve for x
    x = 304,252,798.09/11,341.27
  6. Step 6: Final answer
    x = 26,827.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.