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Finding the Third Proportional to 8,505 and 13,275

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Solution

The third proportional to 8,505 and 13,275 is: 20,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 13,275 = 13,275 : x
  2. Step 2: Convert to fraction form
    8,505/13,275 = 13,275/x
  3. Step 3: Cross multiply
    8,505x = 13,275 × 13,275
  4. Step 4: Simplify right side
    8,505x = 176,225,625
  5. Step 5: Solve for x
    x = 176,225,625/8,505
  6. Step 6: Final answer
    x = 20,720.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.