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Finding the Third Proportional to 27,033.75 and 57,803.63

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Solution

The third proportional to 27,033.75 and 57,803.63 is: 123,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.75 : 57,803.63 = 57,803.63 : x
  2. Step 2: Convert to fraction form
    27,033.75/57,803.63 = 57,803.63/x
  3. Step 3: Cross multiply
    27,033.75x = 57,803.63 × 57,803.63
  4. Step 4: Simplify right side
    27,033.75x = 3,341,259,063.14
  5. Step 5: Solve for x
    x = 3,341,259,063.14/27,033.75
  6. Step 6: Final answer
    x = 123,595.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.