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Finding the Third Proportional to 11,089.50 and 24,363

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Solution

The third proportional to 11,089.50 and 24,363 is: 53,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089.50 : 24,363 = 24,363 : x
  2. Step 2: Convert to fraction form
    11,089.50/24,363 = 24,363/x
  3. Step 3: Cross multiply
    11,089.50x = 24,363 × 24,363
  4. Step 4: Simplify right side
    11,089.50x = 593,555,769
  5. Step 5: Solve for x
    x = 593,555,769/11,089.50
  6. Step 6: Final answer
    x = 53,524.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.