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Finding the Third Proportional to 17,398.13 and 33,409.13

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Solution

The third proportional to 17,398.13 and 33,409.13 is: 64,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398.13 : 33,409.13 = 33,409.13 : x
  2. Step 2: Convert to fraction form
    17,398.13/33,409.13 = 33,409.13/x
  3. Step 3: Cross multiply
    17,398.13x = 33,409.13 × 33,409.13
  4. Step 4: Simplify right side
    17,398.13x = 1,116,169,633.27
  5. Step 5: Solve for x
    x = 1,116,169,633.27/17,398.13
  6. Step 6: Final answer
    x = 64,154.59

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.