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Finding the Third Proportional to 12,263 and 26,755

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Solution

The third proportional to 12,263 and 26,755 is: 58,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263 : 26,755 = 26,755 : x
  2. Step 2: Convert to fraction form
    12,263/26,755 = 26,755/x
  3. Step 3: Cross multiply
    12,263x = 26,755 × 26,755
  4. Step 4: Simplify right side
    12,263x = 715,830,025
  5. Step 5: Solve for x
    x = 715,830,025/12,263
  6. Step 6: Final answer
    x = 58,373.16

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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.