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Finding the Third Proportional to 7,455.38 and 10,449.84

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Solution

The third proportional to 7,455.38 and 10,449.84 is: 14,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.38 : 10,449.84 = 10,449.84 : x
  2. Step 2: Convert to fraction form
    7,455.38/10,449.84 = 10,449.84/x
  3. Step 3: Cross multiply
    7,455.38x = 10,449.84 × 10,449.84
  4. Step 4: Simplify right side
    7,455.38x = 109,199,234.40
  5. Step 5: Solve for x
    x = 109,199,234.40/7,455.38
  6. Step 6: Final answer
    x = 14,647.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.