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Finding the Third Proportional to 7,945.75 and 11,672.25

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Solution

The third proportional to 7,945.75 and 11,672.25 is: 17,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.75 : 11,672.25 = 11,672.25 : x
  2. Step 2: Convert to fraction form
    7,945.75/11,672.25 = 11,672.25/x
  3. Step 3: Cross multiply
    7,945.75x = 11,672.25 × 11,672.25
  4. Step 4: Simplify right side
    7,945.75x = 136,241,420.06
  5. Step 5: Solve for x
    x = 136,241,420.06/7,945.75
  6. Step 6: Final answer
    x = 17,146.45

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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.