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Finding the Third Proportional to 3,509.58 and 7,505.16

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Solution

The third proportional to 3,509.58 and 7,505.16 is: 16,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.58 : 7,505.16 = 7,505.16 : x
  2. Step 2: Convert to fraction form
    3,509.58/7,505.16 = 7,505.16/x
  3. Step 3: Cross multiply
    3,509.58x = 7,505.16 × 7,505.16
  4. Step 4: Simplify right side
    3,509.58x = 56,327,370.34
  5. Step 5: Solve for x
    x = 56,327,370.34/3,509.58
  6. Step 6: Final answer
    x = 16,049.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.