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Finding the Third Proportional to 4,546.13 and 10,521.56

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Solution

The third proportional to 4,546.13 and 10,521.56 is: 24,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.13 : 10,521.56 = 10,521.56 : x
  2. Step 2: Convert to fraction form
    4,546.13/10,521.56 = 10,521.56/x
  3. Step 3: Cross multiply
    4,546.13x = 10,521.56 × 10,521.56
  4. Step 4: Simplify right side
    4,546.13x = 110,703,277.44
  5. Step 5: Solve for x
    x = 110,703,277.44/4,546.13
  6. Step 6: Final answer
    x = 24,351.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.