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Finding the Third Proportional to 14,059 and 29,939.50

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Solution

The third proportional to 14,059 and 29,939.50 is: 63,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059 : 29,939.50 = 29,939.50 : x
  2. Step 2: Convert to fraction form
    14,059/29,939.50 = 29,939.50/x
  3. Step 3: Cross multiply
    14,059x = 29,939.50 × 29,939.50
  4. Step 4: Simplify right side
    14,059x = 896,373,660.25
  5. Step 5: Solve for x
    x = 896,373,660.25/14,059
  6. Step 6: Final answer
    x = 63,758.00

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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.