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Finding the Third Proportional to 12,174 and 26,076

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Solution

The third proportional to 12,174 and 26,076 is: 55,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 26,076 = 26,076 : x
  2. Step 2: Convert to fraction form
    12,174/26,076 = 26,076/x
  3. Step 3: Cross multiply
    12,174x = 26,076 × 26,076
  4. Step 4: Simplify right side
    12,174x = 679,957,776
  5. Step 5: Solve for x
    x = 679,957,776/12,174
  6. Step 6: Final answer
    x = 55,853.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.