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Finding the Third Proportional to 7,504.88 and 13,938.75

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Solution

The third proportional to 7,504.88 and 13,938.75 is: 25,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.88 : 13,938.75 = 13,938.75 : x
  2. Step 2: Convert to fraction form
    7,504.88/13,938.75 = 13,938.75/x
  3. Step 3: Cross multiply
    7,504.88x = 13,938.75 × 13,938.75
  4. Step 4: Simplify right side
    7,504.88x = 194,288,751.56
  5. Step 5: Solve for x
    x = 194,288,751.56/7,504.88
  6. Step 6: Final answer
    x = 25,888.34

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.