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Finding the Third Proportional to 11,023 and 24,091

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Solution

The third proportional to 11,023 and 24,091 is: 52,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023 : 24,091 = 24,091 : x
  2. Step 2: Convert to fraction form
    11,023/24,091 = 24,091/x
  3. Step 3: Cross multiply
    11,023x = 24,091 × 24,091
  4. Step 4: Simplify right side
    11,023x = 580,376,281
  5. Step 5: Solve for x
    x = 580,376,281/11,023
  6. Step 6: Final answer
    x = 52,651.39

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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.