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Finding the Third Proportional to 11,506 and 24,174

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Solution

The third proportional to 11,506 and 24,174 is: 50,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506 : 24,174 = 24,174 : x
  2. Step 2: Convert to fraction form
    11,506/24,174 = 24,174/x
  3. Step 3: Cross multiply
    11,506x = 24,174 × 24,174
  4. Step 4: Simplify right side
    11,506x = 584,382,276
  5. Step 5: Solve for x
    x = 584,382,276/11,506
  6. Step 6: Final answer
    x = 50,789.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.