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Finding the Third Proportional to 22,674.94 and 34,954.03

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Solution

The third proportional to 22,674.94 and 34,954.03 is: 53,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.94 : 34,954.03 = 34,954.03 : x
  2. Step 2: Convert to fraction form
    22,674.94/34,954.03 = 34,954.03/x
  3. Step 3: Cross multiply
    22,674.94x = 34,954.03 × 34,954.03
  4. Step 4: Simplify right side
    22,674.94x = 1,221,784,300.63
  5. Step 5: Solve for x
    x = 1,221,784,300.63/22,674.94
  6. Step 6: Final answer
    x = 53,882.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.