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Finding the Third Proportional to 11,164 and 24,776

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Solution

The third proportional to 11,164 and 24,776 is: 54,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164 : 24,776 = 24,776 : x
  2. Step 2: Convert to fraction form
    11,164/24,776 = 24,776/x
  3. Step 3: Cross multiply
    11,164x = 24,776 × 24,776
  4. Step 4: Simplify right side
    11,164x = 613,850,176
  5. Step 5: Solve for x
    x = 613,850,176/11,164
  6. Step 6: Final answer
    x = 54,984.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.