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Finding the Third Proportional to 17,653.50 and 25,939.50

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Solution

The third proportional to 17,653.50 and 25,939.50 is: 38,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.50 : 25,939.50 = 25,939.50 : x
  2. Step 2: Convert to fraction form
    17,653.50/25,939.50 = 25,939.50/x
  3. Step 3: Cross multiply
    17,653.50x = 25,939.50 × 25,939.50
  4. Step 4: Simplify right side
    17,653.50x = 672,857,660.25
  5. Step 5: Solve for x
    x = 672,857,660.25/17,653.50
  6. Step 6: Final answer
    x = 38,114.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.