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Finding the Third Proportional to 12,738 and 26,358

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Solution

The third proportional to 12,738 and 26,358 is: 54,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738 : 26,358 = 26,358 : x
  2. Step 2: Convert to fraction form
    12,738/26,358 = 26,358/x
  3. Step 3: Cross multiply
    12,738x = 26,358 × 26,358
  4. Step 4: Simplify right side
    12,738x = 694,744,164
  5. Step 5: Solve for x
    x = 694,744,164/12,738
  6. Step 6: Final answer
    x = 54,541.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.