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Finding the Third Proportional to 7,693.88 and 18,152.25

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Solution

The third proportional to 7,693.88 and 18,152.25 is: 42,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.88 : 18,152.25 = 18,152.25 : x
  2. Step 2: Convert to fraction form
    7,693.88/18,152.25 = 18,152.25/x
  3. Step 3: Cross multiply
    7,693.88x = 18,152.25 × 18,152.25
  4. Step 4: Simplify right side
    7,693.88x = 329,504,180.06
  5. Step 5: Solve for x
    x = 329,504,180.06/7,693.88
  6. Step 6: Final answer
    x = 42,826.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.