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Finding the Third Proportional to 7,120.13 and 14,696.44

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Solution

The third proportional to 7,120.13 and 14,696.44 is: 30,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.13 : 14,696.44 = 14,696.44 : x
  2. Step 2: Convert to fraction form
    7,120.13/14,696.44 = 14,696.44/x
  3. Step 3: Cross multiply
    7,120.13x = 14,696.44 × 14,696.44
  4. Step 4: Simplify right side
    7,120.13x = 215,985,275.19
  5. Step 5: Solve for x
    x = 215,985,275.19/7,120.13
  6. Step 6: Final answer
    x = 30,334.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.