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Finding the Third Proportional to 20,318.50 and 32,446

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Solution

The third proportional to 20,318.50 and 32,446 is: 51,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.50 : 32,446 = 32,446 : x
  2. Step 2: Convert to fraction form
    20,318.50/32,446 = 32,446/x
  3. Step 3: Cross multiply
    20,318.50x = 32,446 × 32,446
  4. Step 4: Simplify right side
    20,318.50x = 1,052,742,916
  5. Step 5: Solve for x
    x = 1,052,742,916/20,318.50
  6. Step 6: Final answer
    x = 51,812.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.