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Finding the Third Proportional to 32,134.50 and 49,423.50

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Solution

The third proportional to 32,134.50 and 49,423.50 is: 76,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.50 : 49,423.50 = 49,423.50 : x
  2. Step 2: Convert to fraction form
    32,134.50/49,423.50 = 49,423.50/x
  3. Step 3: Cross multiply
    32,134.50x = 49,423.50 × 49,423.50
  4. Step 4: Simplify right side
    32,134.50x = 2,442,682,352.25
  5. Step 5: Solve for x
    x = 2,442,682,352.25/32,134.50
  6. Step 6: Final answer
    x = 76,014.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.