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Finding the Third Proportional to 29,478.94 and 41,671.13

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Solution

The third proportional to 29,478.94 and 41,671.13 is: 58,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.94 : 41,671.13 = 41,671.13 : x
  2. Step 2: Convert to fraction form
    29,478.94/41,671.13 = 41,671.13/x
  3. Step 3: Cross multiply
    29,478.94x = 41,671.13 × 41,671.13
  4. Step 4: Simplify right side
    29,478.94x = 1,736,482,658.77
  5. Step 5: Solve for x
    x = 1,736,482,658.77/29,478.94
  6. Step 6: Final answer
    x = 58,905.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.