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Finding the Third Proportional to 29,961.94 and 66,574.74

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Solution

The third proportional to 29,961.94 and 66,574.74 is: 147,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.94 : 66,574.74 = 66,574.74 : x
  2. Step 2: Convert to fraction form
    29,961.94/66,574.74 = 66,574.74/x
  3. Step 3: Cross multiply
    29,961.94x = 66,574.74 × 66,574.74
  4. Step 4: Simplify right side
    29,961.94x = 4,432,195,753.85
  5. Step 5: Solve for x
    x = 4,432,195,753.85/29,961.94
  6. Step 6: Final answer
    x = 147,927.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.