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Finding the Third Proportional to 1,472.34 and 3,204.77

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Solution

The third proportional to 1,472.34 and 3,204.77 is: 6,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.34 : 3,204.77 = 3,204.77 : x
  2. Step 2: Convert to fraction form
    1,472.34/3,204.77 = 3,204.77/x
  3. Step 3: Cross multiply
    1,472.34x = 3,204.77 × 3,204.77
  4. Step 4: Simplify right side
    1,472.34x = 10,270,572.79
  5. Step 5: Solve for x
    x = 10,270,572.79/1,472.34
  6. Step 6: Final answer
    x = 6,975.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.