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Finding the Third Proportional to 24,648.75 and 52,994.25

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Solution

The third proportional to 24,648.75 and 52,994.25 is: 113,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648.75 : 52,994.25 = 52,994.25 : x
  2. Step 2: Convert to fraction form
    24,648.75/52,994.25 = 52,994.25/x
  3. Step 3: Cross multiply
    24,648.75x = 52,994.25 × 52,994.25
  4. Step 4: Simplify right side
    24,648.75x = 2,808,390,533.06
  5. Step 5: Solve for x
    x = 2,808,390,533.06/24,648.75
  6. Step 6: Final answer
    x = 113,936.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.