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Finding the Third Proportional to 30,823.03 and 39,259.69

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Solution

The third proportional to 30,823.03 and 39,259.69 is: 50,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 39,259.69 = 39,259.69 : x
  2. Step 2: Convert to fraction form
    30,823.03/39,259.69 = 39,259.69/x
  3. Step 3: Cross multiply
    30,823.03x = 39,259.69 × 39,259.69
  4. Step 4: Simplify right side
    30,823.03x = 1,541,323,062.60
  5. Step 5: Solve for x
    x = 1,541,323,062.60/30,823.03
  6. Step 6: Final answer
    x = 50,005.56

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.