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Finding the Third Proportional to 12,246.19 and 16,015.22

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Solution

The third proportional to 12,246.19 and 16,015.22 is: 20,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.19 : 16,015.22 = 16,015.22 : x
  2. Step 2: Convert to fraction form
    12,246.19/16,015.22 = 16,015.22/x
  3. Step 3: Cross multiply
    12,246.19x = 16,015.22 × 16,015.22
  4. Step 4: Simplify right side
    12,246.19x = 256,487,231.61
  5. Step 5: Solve for x
    x = 256,487,231.61/12,246.19
  6. Step 6: Final answer
    x = 20,944.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.