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Finding the Third Proportional to 12,174 and 26,247

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Solution

The third proportional to 12,174 and 26,247 is: 56,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 26,247 = 26,247 : x
  2. Step 2: Convert to fraction form
    12,174/26,247 = 26,247/x
  3. Step 3: Cross multiply
    12,174x = 26,247 × 26,247
  4. Step 4: Simplify right side
    12,174x = 688,905,009
  5. Step 5: Solve for x
    x = 688,905,009/12,174
  6. Step 6: Final answer
    x = 56,588.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.