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Finding the Third Proportional to 24,654 and 52,993.50

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Solution

The third proportional to 24,654 and 52,993.50 is: 113,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654 : 52,993.50 = 52,993.50 : x
  2. Step 2: Convert to fraction form
    24,654/52,993.50 = 52,993.50/x
  3. Step 3: Cross multiply
    24,654x = 52,993.50 × 52,993.50
  4. Step 4: Simplify right side
    24,654x = 2,808,311,042.25
  5. Step 5: Solve for x
    x = 2,808,311,042.25/24,654
  6. Step 6: Final answer
    x = 113,908.94

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Why These Related Problems?

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