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Finding the Third Proportional to 12,178 and 26,549

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Solution

The third proportional to 12,178 and 26,549 is: 57,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178 : 26,549 = 26,549 : x
  2. Step 2: Convert to fraction form
    12,178/26,549 = 26,549/x
  3. Step 3: Cross multiply
    12,178x = 26,549 × 26,549
  4. Step 4: Simplify right side
    12,178x = 704,849,401
  5. Step 5: Solve for x
    x = 704,849,401/12,178
  6. Step 6: Final answer
    x = 57,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.