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Finding the Third Proportional to 12,179 and 26,254

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Solution

The third proportional to 12,179 and 26,254 is: 56,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179 : 26,254 = 26,254 : x
  2. Step 2: Convert to fraction form
    12,179/26,254 = 26,254/x
  3. Step 3: Cross multiply
    12,179x = 26,254 × 26,254
  4. Step 4: Simplify right side
    12,179x = 689,272,516
  5. Step 5: Solve for x
    x = 689,272,516/12,179
  6. Step 6: Final answer
    x = 56,595.17

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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.