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Finding the Third Proportional to 7,440.50 and 11,256.75

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Solution

The third proportional to 7,440.50 and 11,256.75 is: 17,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.50 : 11,256.75 = 11,256.75 : x
  2. Step 2: Convert to fraction form
    7,440.50/11,256.75 = 11,256.75/x
  3. Step 3: Cross multiply
    7,440.50x = 11,256.75 × 11,256.75
  4. Step 4: Simplify right side
    7,440.50x = 126,714,420.56
  5. Step 5: Solve for x
    x = 126,714,420.56/7,440.50
  6. Step 6: Final answer
    x = 17,030.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.