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Finding the Third Proportional to 15,478 and 33,923.50

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Solution

The third proportional to 15,478 and 33,923.50 is: 74,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478 : 33,923.50 = 33,923.50 : x
  2. Step 2: Convert to fraction form
    15,478/33,923.50 = 33,923.50/x
  3. Step 3: Cross multiply
    15,478x = 33,923.50 × 33,923.50
  4. Step 4: Simplify right side
    15,478x = 1,150,803,852.25
  5. Step 5: Solve for x
    x = 1,150,803,852.25/15,478
  6. Step 6: Final answer
    x = 74,350.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.