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Finding the Third Proportional to 7,930.13 and 17,272.88

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Solution

The third proportional to 7,930.13 and 17,272.88 is: 37,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.13 : 17,272.88 = 17,272.88 : x
  2. Step 2: Convert to fraction form
    7,930.13/17,272.88 = 17,272.88/x
  3. Step 3: Cross multiply
    7,930.13x = 17,272.88 × 17,272.88
  4. Step 4: Simplify right side
    7,930.13x = 298,352,210.77
  5. Step 5: Solve for x
    x = 298,352,210.77/7,930.13
  6. Step 6: Final answer
    x = 37,622.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.