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Finding the Third Proportional to 7,062.19 and 11,013.47

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Solution

The third proportional to 7,062.19 and 11,013.47 is: 17,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.19 : 11,013.47 = 11,013.47 : x
  2. Step 2: Convert to fraction form
    7,062.19/11,013.47 = 11,013.47/x
  3. Step 3: Cross multiply
    7,062.19x = 11,013.47 × 11,013.47
  4. Step 4: Simplify right side
    7,062.19x = 121,296,493.91
  5. Step 5: Solve for x
    x = 121,296,493.91/7,062.19
  6. Step 6: Final answer
    x = 17,175.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.