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Finding the Third Proportional to 24,769.50 and 53,913

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Solution

The third proportional to 24,769.50 and 53,913 is: 117,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.50 : 53,913 = 53,913 : x
  2. Step 2: Convert to fraction form
    24,769.50/53,913 = 53,913/x
  3. Step 3: Cross multiply
    24,769.50x = 53,913 × 53,913
  4. Step 4: Simplify right side
    24,769.50x = 2,906,611,569
  5. Step 5: Solve for x
    x = 2,906,611,569/24,769.50
  6. Step 6: Final answer
    x = 117,346.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.