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Finding the Third Proportional to 27,834.75 and 56,643.75

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Solution

The third proportional to 27,834.75 and 56,643.75 is: 115,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.75 : 56,643.75 = 56,643.75 : x
  2. Step 2: Convert to fraction form
    27,834.75/56,643.75 = 56,643.75/x
  3. Step 3: Cross multiply
    27,834.75x = 56,643.75 × 56,643.75
  4. Step 4: Simplify right side
    27,834.75x = 3,208,514,414.06
  5. Step 5: Solve for x
    x = 3,208,514,414.06/27,834.75
  6. Step 6: Final answer
    x = 115,270.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.