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Finding the Third Proportional to 5,210 and 11,373.25

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Solution

The third proportional to 5,210 and 11,373.25 is: 24,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210 : 11,373.25 = 11,373.25 : x
  2. Step 2: Convert to fraction form
    5,210/11,373.25 = 11,373.25/x
  3. Step 3: Cross multiply
    5,210x = 11,373.25 × 11,373.25
  4. Step 4: Simplify right side
    5,210x = 129,350,815.56
  5. Step 5: Solve for x
    x = 129,350,815.56/5,210
  6. Step 6: Final answer
    x = 24,827.41

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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.