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Finding the Third Proportional to 27,340.88 and 58,949.44

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Solution

The third proportional to 27,340.88 and 58,949.44 is: 127,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340.88 : 58,949.44 = 58,949.44 : x
  2. Step 2: Convert to fraction form
    27,340.88/58,949.44 = 58,949.44/x
  3. Step 3: Cross multiply
    27,340.88x = 58,949.44 × 58,949.44
  4. Step 4: Simplify right side
    27,340.88x = 3,475,036,181.57
  5. Step 5: Solve for x
    x = 3,475,036,181.57/27,340.88
  6. Step 6: Final answer
    x = 127,100.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.