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Finding the Third Proportional to 32,626.50 and 47,976

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Solution

The third proportional to 32,626.50 and 47,976 is: 70,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626.50 : 47,976 = 47,976 : x
  2. Step 2: Convert to fraction form
    32,626.50/47,976 = 47,976/x
  3. Step 3: Cross multiply
    32,626.50x = 47,976 × 47,976
  4. Step 4: Simplify right side
    32,626.50x = 2,301,696,576
  5. Step 5: Solve for x
    x = 2,301,696,576/32,626.50
  6. Step 6: Final answer
    x = 70,546.84

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Why These Related Problems?

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