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Finding the Third Proportional to 7,276.57 and 10,675.27

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Solution

The third proportional to 7,276.57 and 10,675.27 is: 15,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.57 : 10,675.27 = 10,675.27 : x
  2. Step 2: Convert to fraction form
    7,276.57/10,675.27 = 10,675.27/x
  3. Step 3: Cross multiply
    7,276.57x = 10,675.27 × 10,675.27
  4. Step 4: Simplify right side
    7,276.57x = 113,961,296.16
  5. Step 5: Solve for x
    x = 113,961,296.16/7,276.57
  6. Step 6: Final answer
    x = 15,661.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.