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Finding the Third Proportional to 12,284 and 26,530

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Solution

The third proportional to 12,284 and 26,530 is: 57,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 26,530 = 26,530 : x
  2. Step 2: Convert to fraction form
    12,284/26,530 = 26,530/x
  3. Step 3: Cross multiply
    12,284x = 26,530 × 26,530
  4. Step 4: Simplify right side
    12,284x = 703,840,900
  5. Step 5: Solve for x
    x = 703,840,900/12,284
  6. Step 6: Final answer
    x = 57,297.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.