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Finding the Third Proportional to 19,216.50 and 25,902.75

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Solution

The third proportional to 19,216.50 and 25,902.75 is: 34,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216.50 : 25,902.75 = 25,902.75 : x
  2. Step 2: Convert to fraction form
    19,216.50/25,902.75 = 25,902.75/x
  3. Step 3: Cross multiply
    19,216.50x = 25,902.75 × 25,902.75
  4. Step 4: Simplify right side
    19,216.50x = 670,952,457.56
  5. Step 5: Solve for x
    x = 670,952,457.56/19,216.50
  6. Step 6: Final answer
    x = 34,915.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.