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Finding the Third Proportional to 11,178 and 24,451.88

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Solution

The third proportional to 11,178 and 24,451.88 is: 53,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 24,451.88 = 24,451.88 : x
  2. Step 2: Convert to fraction form
    11,178/24,451.88 = 24,451.88/x
  3. Step 3: Cross multiply
    11,178x = 24,451.88 × 24,451.88
  4. Step 4: Simplify right side
    11,178x = 597,894,191.02
  5. Step 5: Solve for x
    x = 597,894,191.02/11,178
  6. Step 6: Final answer
    x = 53,488.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.