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Finding the Third Proportional to 32,313.50 and 48,504

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Solution

The third proportional to 32,313.50 and 48,504 is: 72,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313.50 : 48,504 = 48,504 : x
  2. Step 2: Convert to fraction form
    32,313.50/48,504 = 48,504/x
  3. Step 3: Cross multiply
    32,313.50x = 48,504 × 48,504
  4. Step 4: Simplify right side
    32,313.50x = 2,352,638,016
  5. Step 5: Solve for x
    x = 2,352,638,016/32,313.50
  6. Step 6: Final answer
    x = 72,806.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.