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Finding the Third Proportional to 4,096.83 and 6,507.84

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Solution

The third proportional to 4,096.83 and 6,507.84 is: 10,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.83 : 6,507.84 = 6,507.84 : x
  2. Step 2: Convert to fraction form
    4,096.83/6,507.84 = 6,507.84/x
  3. Step 3: Cross multiply
    4,096.83x = 6,507.84 × 6,507.84
  4. Step 4: Simplify right side
    4,096.83x = 42,352,030.27
  5. Step 5: Solve for x
    x = 42,352,030.27/4,096.83
  6. Step 6: Final answer
    x = 10,337.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.