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Finding the Third Proportional to 20,944 and 27,528

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Solution

The third proportional to 20,944 and 27,528 is: 36,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944 : 27,528 = 27,528 : x
  2. Step 2: Convert to fraction form
    20,944/27,528 = 27,528/x
  3. Step 3: Cross multiply
    20,944x = 27,528 × 27,528
  4. Step 4: Simplify right side
    20,944x = 757,790,784
  5. Step 5: Solve for x
    x = 757,790,784/20,944
  6. Step 6: Final answer
    x = 36,181.76

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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.