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Finding the Third Proportional to 9,196.75 and 14,572.75

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Solution

The third proportional to 9,196.75 and 14,572.75 is: 23,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.75 : 14,572.75 = 14,572.75 : x
  2. Step 2: Convert to fraction form
    9,196.75/14,572.75 = 14,572.75/x
  3. Step 3: Cross multiply
    9,196.75x = 14,572.75 × 14,572.75
  4. Step 4: Simplify right side
    9,196.75x = 212,365,042.56
  5. Step 5: Solve for x
    x = 212,365,042.56/9,196.75
  6. Step 6: Final answer
    x = 23,091.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.