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Finding the Third Proportional to 4,225.85 and 6,569.16

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Solution

The third proportional to 4,225.85 and 6,569.16 is: 10,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.85 : 6,569.16 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    4,225.85/6,569.16 = 6,569.16/x
  3. Step 3: Cross multiply
    4,225.85x = 6,569.16 × 6,569.16
  4. Step 4: Simplify right side
    4,225.85x = 43,153,813.84
  5. Step 5: Solve for x
    x = 43,153,813.84/4,225.85
  6. Step 6: Final answer
    x = 10,211.86

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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.