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Finding the Third Proportional to 34,025 and 48,390.75

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Solution

The third proportional to 34,025 and 48,390.75 is: 68,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,025 : 48,390.75 = 48,390.75 : x
  2. Step 2: Convert to fraction form
    34,025/48,390.75 = 48,390.75/x
  3. Step 3: Cross multiply
    34,025x = 48,390.75 × 48,390.75
  4. Step 4: Simplify right side
    34,025x = 2,341,664,685.56
  5. Step 5: Solve for x
    x = 2,341,664,685.56/34,025
  6. Step 6: Final answer
    x = 68,821.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.