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Finding the Third Proportional to 25,674 and 56,250

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Solution

The third proportional to 25,674 and 56,250 is: 123,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674 : 56,250 = 56,250 : x
  2. Step 2: Convert to fraction form
    25,674/56,250 = 56,250/x
  3. Step 3: Cross multiply
    25,674x = 56,250 × 56,250
  4. Step 4: Simplify right side
    25,674x = 3,164,062,500
  5. Step 5: Solve for x
    x = 3,164,062,500/25,674
  6. Step 6: Final answer
    x = 123,239.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.