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Finding the Third Proportional to 17,345.50 and 24,786.25

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Solution

The third proportional to 17,345.50 and 24,786.25 is: 35,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,345.50 : 24,786.25 = 24,786.25 : x
  2. Step 2: Convert to fraction form
    17,345.50/24,786.25 = 24,786.25/x
  3. Step 3: Cross multiply
    17,345.50x = 24,786.25 × 24,786.25
  4. Step 4: Simplify right side
    17,345.50x = 614,358,189.06
  5. Step 5: Solve for x
    x = 614,358,189.06/17,345.50
  6. Step 6: Final answer
    x = 35,418.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.