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Finding the Third Proportional to 32,035.50 and 46,770.75

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Solution

The third proportional to 32,035.50 and 46,770.75 is: 68,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.50 : 46,770.75 = 46,770.75 : x
  2. Step 2: Convert to fraction form
    32,035.50/46,770.75 = 46,770.75/x
  3. Step 3: Cross multiply
    32,035.50x = 46,770.75 × 46,770.75
  4. Step 4: Simplify right side
    32,035.50x = 2,187,503,055.56
  5. Step 5: Solve for x
    x = 2,187,503,055.56/32,035.50
  6. Step 6: Final answer
    x = 68,283.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.