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Finding the Third Proportional to 30,823.03 and 39,491.30

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Solution

The third proportional to 30,823.03 and 39,491.30 is: 50,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 39,491.30 = 39,491.30 : x
  2. Step 2: Convert to fraction form
    30,823.03/39,491.30 = 39,491.30/x
  3. Step 3: Cross multiply
    30,823.03x = 39,491.30 × 39,491.30
  4. Step 4: Simplify right side
    30,823.03x = 1,559,562,528.87
  5. Step 5: Solve for x
    x = 1,559,562,528.87/30,823.03
  6. Step 6: Final answer
    x = 50,597.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.