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Finding the Third Proportional to 33,454 and 45,873.50

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Solution

The third proportional to 33,454 and 45,873.50 is: 62,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 45,873.50 = 45,873.50 : x
  2. Step 2: Convert to fraction form
    33,454/45,873.50 = 45,873.50/x
  3. Step 3: Cross multiply
    33,454x = 45,873.50 × 45,873.50
  4. Step 4: Simplify right side
    33,454x = 2,104,378,002.25
  5. Step 5: Solve for x
    x = 2,104,378,002.25/33,454
  6. Step 6: Final answer
    x = 62,903.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.