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Finding the Third Proportional to 11,803 and 17,217.50

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Solution

The third proportional to 11,803 and 17,217.50 is: 25,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 17,217.50 = 17,217.50 : x
  2. Step 2: Convert to fraction form
    11,803/17,217.50 = 17,217.50/x
  3. Step 3: Cross multiply
    11,803x = 17,217.50 × 17,217.50
  4. Step 4: Simplify right side
    11,803x = 296,442,306.25
  5. Step 5: Solve for x
    x = 296,442,306.25/11,803
  6. Step 6: Final answer
    x = 25,115.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.