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Finding the Third Proportional to 8,133 and 17,497.50

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Solution

The third proportional to 8,133 and 17,497.50 is: 37,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 17,497.50 = 17,497.50 : x
  2. Step 2: Convert to fraction form
    8,133/17,497.50 = 17,497.50/x
  3. Step 3: Cross multiply
    8,133x = 17,497.50 × 17,497.50
  4. Step 4: Simplify right side
    8,133x = 306,162,506.25
  5. Step 5: Solve for x
    x = 306,162,506.25/8,133
  6. Step 6: Final answer
    x = 37,644.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.