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Finding the Third Proportional to 13,297.50 and 17,253

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Solution

The third proportional to 13,297.50 and 17,253 is: 22,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.50 : 17,253 = 17,253 : x
  2. Step 2: Convert to fraction form
    13,297.50/17,253 = 17,253/x
  3. Step 3: Cross multiply
    13,297.50x = 17,253 × 17,253
  4. Step 4: Simplify right side
    13,297.50x = 297,666,009
  5. Step 5: Solve for x
    x = 297,666,009/13,297.50
  6. Step 6: Final answer
    x = 22,385.11

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.