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Finding the Third Proportional to 17,661.56 and 24,752.44

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Solution

The third proportional to 17,661.56 and 24,752.44 is: 34,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.56 : 24,752.44 = 24,752.44 : x
  2. Step 2: Convert to fraction form
    17,661.56/24,752.44 = 24,752.44/x
  3. Step 3: Cross multiply
    17,661.56x = 24,752.44 × 24,752.44
  4. Step 4: Simplify right side
    17,661.56x = 612,683,162.19
  5. Step 5: Solve for x
    x = 612,683,162.19/17,661.56
  6. Step 6: Final answer
    x = 34,690.20

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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.