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Finding the Third Proportional to 11,341.13 and 19,391.06

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Solution

The third proportional to 11,341.13 and 19,391.06 is: 33,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.13 : 19,391.06 = 19,391.06 : x
  2. Step 2: Convert to fraction form
    11,341.13/19,391.06 = 19,391.06/x
  3. Step 3: Cross multiply
    11,341.13x = 19,391.06 × 19,391.06
  4. Step 4: Simplify right side
    11,341.13x = 376,013,304.88
  5. Step 5: Solve for x
    x = 376,013,304.88/11,341.13
  6. Step 6: Final answer
    x = 33,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.