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Finding the Third Proportional to 4,176.56 and 6,474.94

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Solution

The third proportional to 4,176.56 and 6,474.94 is: 10,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 6,474.94 = 6,474.94 : x
  2. Step 2: Convert to fraction form
    4,176.56/6,474.94 = 6,474.94/x
  3. Step 3: Cross multiply
    4,176.56x = 6,474.94 × 6,474.94
  4. Step 4: Simplify right side
    4,176.56x = 41,924,815.63
  5. Step 5: Solve for x
    x = 41,924,815.63/4,176.56
  6. Step 6: Final answer
    x = 10,038.12

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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.