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Finding the Third Proportional to 8,497.50 and 13,125

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Solution

The third proportional to 8,497.50 and 13,125 is: 20,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.50 : 13,125 = 13,125 : x
  2. Step 2: Convert to fraction form
    8,497.50/13,125 = 13,125/x
  3. Step 3: Cross multiply
    8,497.50x = 13,125 × 13,125
  4. Step 4: Simplify right side
    8,497.50x = 172,265,625
  5. Step 5: Solve for x
    x = 172,265,625/8,497.50
  6. Step 6: Final answer
    x = 20,272.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.