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Finding the Third Proportional to 12,074 and 21,226

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Solution

The third proportional to 12,074 and 21,226 is: 37,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074 : 21,226 = 21,226 : x
  2. Step 2: Convert to fraction form
    12,074/21,226 = 21,226/x
  3. Step 3: Cross multiply
    12,074x = 21,226 × 21,226
  4. Step 4: Simplify right side
    12,074x = 450,543,076
  5. Step 5: Solve for x
    x = 450,543,076/12,074
  6. Step 6: Final answer
    x = 37,315.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.