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Finding the Third Proportional to 17,670.09 and 25,975.13

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Solution

The third proportional to 17,670.09 and 25,975.13 is: 38,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.09 : 25,975.13 = 25,975.13 : x
  2. Step 2: Convert to fraction form
    17,670.09/25,975.13 = 25,975.13/x
  3. Step 3: Cross multiply
    17,670.09x = 25,975.13 × 25,975.13
  4. Step 4: Simplify right side
    17,670.09x = 674,707,118.77
  5. Step 5: Solve for x
    x = 674,707,118.77/17,670.09
  6. Step 6: Final answer
    x = 38,183.56

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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.