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Finding the Third Proportional to 7,656 and 11,062.50

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Solution

The third proportional to 7,656 and 11,062.50 is: 15,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 11,062.50 = 11,062.50 : x
  2. Step 2: Convert to fraction form
    7,656/11,062.50 = 11,062.50/x
  3. Step 3: Cross multiply
    7,656x = 11,062.50 × 11,062.50
  4. Step 4: Simplify right side
    7,656x = 122,378,906.25
  5. Step 5: Solve for x
    x = 122,378,906.25/7,656
  6. Step 6: Final answer
    x = 15,984.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.