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Finding the Third Proportional to 4,205.04 and 6,529.68

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Solution

The third proportional to 4,205.04 and 6,529.68 is: 10,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.04 : 6,529.68 = 6,529.68 : x
  2. Step 2: Convert to fraction form
    4,205.04/6,529.68 = 6,529.68/x
  3. Step 3: Cross multiply
    4,205.04x = 6,529.68 × 6,529.68
  4. Step 4: Simplify right side
    4,205.04x = 42,636,665.81
  5. Step 5: Solve for x
    x = 42,636,665.81/4,205.04
  6. Step 6: Final answer
    x = 10,139.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.