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Finding the Third Proportional to 12,996.28 and 18,585.28

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Solution

The third proportional to 12,996.28 and 18,585.28 is: 26,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.28 : 18,585.28 = 18,585.28 : x
  2. Step 2: Convert to fraction form
    12,996.28/18,585.28 = 18,585.28/x
  3. Step 3: Cross multiply
    12,996.28x = 18,585.28 × 18,585.28
  4. Step 4: Simplify right side
    12,996.28x = 345,412,679.14
  5. Step 5: Solve for x
    x = 345,412,679.14/12,996.28
  6. Step 6: Final answer
    x = 26,577.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.