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Finding the Third Proportional to 4,623.05 and 7,548.19

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Solution

The third proportional to 4,623.05 and 7,548.19 is: 12,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.05 : 7,548.19 = 7,548.19 : x
  2. Step 2: Convert to fraction form
    4,623.05/7,548.19 = 7,548.19/x
  3. Step 3: Cross multiply
    4,623.05x = 7,548.19 × 7,548.19
  4. Step 4: Simplify right side
    4,623.05x = 56,975,134.54
  5. Step 5: Solve for x
    x = 56,975,134.54/4,623.05
  6. Step 6: Final answer
    x = 12,324.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.