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Finding the Third Proportional to 30,040.88 and 63,964.69

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Solution

The third proportional to 30,040.88 and 63,964.69 is: 136,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040.88 : 63,964.69 = 63,964.69 : x
  2. Step 2: Convert to fraction form
    30,040.88/63,964.69 = 63,964.69/x
  3. Step 3: Cross multiply
    30,040.88x = 63,964.69 × 63,964.69
  4. Step 4: Simplify right side
    30,040.88x = 4,091,481,246.97
  5. Step 5: Solve for x
    x = 4,091,481,246.97/30,040.88
  6. Step 6: Final answer
    x = 136,197.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.