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Finding the Third Proportional to 3,318.47 and 4,506.89

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Solution

The third proportional to 3,318.47 and 4,506.89 is: 6,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.47 : 4,506.89 = 4,506.89 : x
  2. Step 2: Convert to fraction form
    3,318.47/4,506.89 = 4,506.89/x
  3. Step 3: Cross multiply
    3,318.47x = 4,506.89 × 4,506.89
  4. Step 4: Simplify right side
    3,318.47x = 20,312,063.11
  5. Step 5: Solve for x
    x = 20,312,063.11/3,318.47
  6. Step 6: Final answer
    x = 6,120.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.