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Finding the Third Proportional to 17,678.75 and 25,060

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Solution

The third proportional to 17,678.75 and 25,060 is: 35,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.75 : 25,060 = 25,060 : x
  2. Step 2: Convert to fraction form
    17,678.75/25,060 = 25,060/x
  3. Step 3: Cross multiply
    17,678.75x = 25,060 × 25,060
  4. Step 4: Simplify right side
    17,678.75x = 628,003,600
  5. Step 5: Solve for x
    x = 628,003,600/17,678.75
  6. Step 6: Final answer
    x = 35,523.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.