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Finding the Third Proportional to 9,510.25 and 20,524.25

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Solution

The third proportional to 9,510.25 and 20,524.25 is: 44,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.25 : 20,524.25 = 20,524.25 : x
  2. Step 2: Convert to fraction form
    9,510.25/20,524.25 = 20,524.25/x
  3. Step 3: Cross multiply
    9,510.25x = 20,524.25 × 20,524.25
  4. Step 4: Simplify right side
    9,510.25x = 421,244,838.06
  5. Step 5: Solve for x
    x = 421,244,838.06/9,510.25
  6. Step 6: Final answer
    x = 44,293.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.