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Finding the Third Proportional to 11,305.50 and 24,557

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Solution

The third proportional to 11,305.50 and 24,557 is: 53,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.50 : 24,557 = 24,557 : x
  2. Step 2: Convert to fraction form
    11,305.50/24,557 = 24,557/x
  3. Step 3: Cross multiply
    11,305.50x = 24,557 × 24,557
  4. Step 4: Simplify right side
    11,305.50x = 603,046,249
  5. Step 5: Solve for x
    x = 603,046,249/11,305.50
  6. Step 6: Final answer
    x = 53,340.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.