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Finding the Third Proportional to 27,398.25 and 36,426.38

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Solution

The third proportional to 27,398.25 and 36,426.38 is: 48,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.25 : 36,426.38 = 36,426.38 : x
  2. Step 2: Convert to fraction form
    27,398.25/36,426.38 = 36,426.38/x
  3. Step 3: Cross multiply
    27,398.25x = 36,426.38 × 36,426.38
  4. Step 4: Simplify right side
    27,398.25x = 1,326,880,795.64
  5. Step 5: Solve for x
    x = 1,326,880,795.64/27,398.25
  6. Step 6: Final answer
    x = 48,429.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.