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Finding the Third Proportional to 7,412.53 and 11,544.09

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Solution

The third proportional to 7,412.53 and 11,544.09 is: 17,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.53 : 11,544.09 = 11,544.09 : x
  2. Step 2: Convert to fraction form
    7,412.53/11,544.09 = 11,544.09/x
  3. Step 3: Cross multiply
    7,412.53x = 11,544.09 × 11,544.09
  4. Step 4: Simplify right side
    7,412.53x = 133,266,100.51
  5. Step 5: Solve for x
    x = 133,266,100.51/7,412.53
  6. Step 6: Final answer
    x = 17,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.