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Finding the Third Proportional to 8,488.13 and 17,573.63

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Solution

The third proportional to 8,488.13 and 17,573.63 is: 36,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.13 : 17,573.63 = 17,573.63 : x
  2. Step 2: Convert to fraction form
    8,488.13/17,573.63 = 17,573.63/x
  3. Step 3: Cross multiply
    8,488.13x = 17,573.63 × 17,573.63
  4. Step 4: Simplify right side
    8,488.13x = 308,832,295.64
  5. Step 5: Solve for x
    x = 308,832,295.64/8,488.13
  6. Step 6: Final answer
    x = 36,384.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.