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Finding the Third Proportional to 29,964.94 and 63,624.66

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Solution

The third proportional to 29,964.94 and 63,624.66 is: 135,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964.94 : 63,624.66 = 63,624.66 : x
  2. Step 2: Convert to fraction form
    29,964.94/63,624.66 = 63,624.66/x
  3. Step 3: Cross multiply
    29,964.94x = 63,624.66 × 63,624.66
  4. Step 4: Simplify right side
    29,964.94x = 4,048,096,882.93
  5. Step 5: Solve for x
    x = 4,048,096,882.93/29,964.94
  6. Step 6: Final answer
    x = 135,094.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.