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Finding the Third Proportional to 17,305.13 and 27,111

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Solution

The third proportional to 17,305.13 and 27,111 is: 42,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,305.13 : 27,111 = 27,111 : x
  2. Step 2: Convert to fraction form
    17,305.13/27,111 = 27,111/x
  3. Step 3: Cross multiply
    17,305.13x = 27,111 × 27,111
  4. Step 4: Simplify right side
    17,305.13x = 735,006,321
  5. Step 5: Solve for x
    x = 735,006,321/17,305.13
  6. Step 6: Final answer
    x = 42,473.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.