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Finding the Third Proportional to 16,202.75 and 24,994.25

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Solution

The third proportional to 16,202.75 and 24,994.25 is: 38,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.75 : 24,994.25 = 24,994.25 : x
  2. Step 2: Convert to fraction form
    16,202.75/24,994.25 = 24,994.25/x
  3. Step 3: Cross multiply
    16,202.75x = 24,994.25 × 24,994.25
  4. Step 4: Simplify right side
    16,202.75x = 624,712,533.06
  5. Step 5: Solve for x
    x = 624,712,533.06/16,202.75
  6. Step 6: Final answer
    x = 38,555.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.