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Finding the Third Proportional to 17,656.50 and 24,753

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Solution

The third proportional to 17,656.50 and 24,753 is: 34,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.50 : 24,753 = 24,753 : x
  2. Step 2: Convert to fraction form
    17,656.50/24,753 = 24,753/x
  3. Step 3: Cross multiply
    17,656.50x = 24,753 × 24,753
  4. Step 4: Simplify right side
    17,656.50x = 612,711,009
  5. Step 5: Solve for x
    x = 612,711,009/17,656.50
  6. Step 6: Final answer
    x = 34,701.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.