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Finding the Third Proportional to 17,418.16 and 38,304.77

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Solution

The third proportional to 17,418.16 and 38,304.77 is: 84,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.16 : 38,304.77 = 38,304.77 : x
  2. Step 2: Convert to fraction form
    17,418.16/38,304.77 = 38,304.77/x
  3. Step 3: Cross multiply
    17,418.16x = 38,304.77 × 38,304.77
  4. Step 4: Simplify right side
    17,418.16x = 1,467,255,668.10
  5. Step 5: Solve for x
    x = 1,467,255,668.10/17,418.16
  6. Step 6: Final answer
    x = 84,237.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.