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Finding the Third Proportional to 7,072.88 and 10,357.88

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Solution

The third proportional to 7,072.88 and 10,357.88 is: 15,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.88 : 10,357.88 = 10,357.88 : x
  2. Step 2: Convert to fraction form
    7,072.88/10,357.88 = 10,357.88/x
  3. Step 3: Cross multiply
    7,072.88x = 10,357.88 × 10,357.88
  4. Step 4: Simplify right side
    7,072.88x = 107,285,574.52
  5. Step 5: Solve for x
    x = 107,285,574.52/7,072.88
  6. Step 6: Final answer
    x = 15,168.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.