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Finding the Third Proportional to 31,737.75 and 46,624.50

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Solution

The third proportional to 31,737.75 and 46,624.50 is: 68,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.75 : 46,624.50 = 46,624.50 : x
  2. Step 2: Convert to fraction form
    31,737.75/46,624.50 = 46,624.50/x
  3. Step 3: Cross multiply
    31,737.75x = 46,624.50 × 46,624.50
  4. Step 4: Simplify right side
    31,737.75x = 2,173,844,000.25
  5. Step 5: Solve for x
    x = 2,173,844,000.25/31,737.75
  6. Step 6: Final answer
    x = 68,493.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.