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Finding the Third Proportional to 11,575 and 24,169

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Solution

The third proportional to 11,575 and 24,169 is: 50,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575 : 24,169 = 24,169 : x
  2. Step 2: Convert to fraction form
    11,575/24,169 = 24,169/x
  3. Step 3: Cross multiply
    11,575x = 24,169 × 24,169
  4. Step 4: Simplify right side
    11,575x = 584,140,561
  5. Step 5: Solve for x
    x = 584,140,561/11,575
  6. Step 6: Final answer
    x = 50,465.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.