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Finding the Third Proportional to 4,548.66 and 7,204.78

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Solution

The third proportional to 4,548.66 and 7,204.78 is: 11,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.66 : 7,204.78 = 7,204.78 : x
  2. Step 2: Convert to fraction form
    4,548.66/7,204.78 = 7,204.78/x
  3. Step 3: Cross multiply
    4,548.66x = 7,204.78 × 7,204.78
  4. Step 4: Simplify right side
    4,548.66x = 51,908,872.86
  5. Step 5: Solve for x
    x = 51,908,872.86/4,548.66
  6. Step 6: Final answer
    x = 11,411.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.