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Finding the Third Proportional to 7,450.88 and 10,329.38

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Solution

The third proportional to 7,450.88 and 10,329.38 is: 14,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.88 : 10,329.38 = 10,329.38 : x
  2. Step 2: Convert to fraction form
    7,450.88/10,329.38 = 10,329.38/x
  3. Step 3: Cross multiply
    7,450.88x = 10,329.38 × 10,329.38
  4. Step 4: Simplify right side
    7,450.88x = 106,695,987.89
  5. Step 5: Solve for x
    x = 106,695,987.89/7,450.88
  6. Step 6: Final answer
    x = 14,319.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.