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Finding the Third Proportional to 16,853 and 25,982.50

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Solution

The third proportional to 16,853 and 25,982.50 is: 40,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853 : 25,982.50 = 25,982.50 : x
  2. Step 2: Convert to fraction form
    16,853/25,982.50 = 25,982.50/x
  3. Step 3: Cross multiply
    16,853x = 25,982.50 × 25,982.50
  4. Step 4: Simplify right side
    16,853x = 675,090,306.25
  5. Step 5: Solve for x
    x = 675,090,306.25/16,853
  6. Step 6: Final answer
    x = 40,057.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.