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Finding the Third Proportional to 25,717.50 and 30,415.50

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Solution

The third proportional to 25,717.50 and 30,415.50 is: 35,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.50 : 30,415.50 = 30,415.50 : x
  2. Step 2: Convert to fraction form
    25,717.50/30,415.50 = 30,415.50/x
  3. Step 3: Cross multiply
    25,717.50x = 30,415.50 × 30,415.50
  4. Step 4: Simplify right side
    25,717.50x = 925,102,640.25
  5. Step 5: Solve for x
    x = 925,102,640.25/25,717.50
  6. Step 6: Final answer
    x = 35,971.72

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.