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Finding the Third Proportional to 12,313 and 26,881

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Solution

The third proportional to 12,313 and 26,881 is: 58,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313 : 26,881 = 26,881 : x
  2. Step 2: Convert to fraction form
    12,313/26,881 = 26,881/x
  3. Step 3: Cross multiply
    12,313x = 26,881 × 26,881
  4. Step 4: Simplify right side
    12,313x = 722,588,161
  5. Step 5: Solve for x
    x = 722,588,161/12,313
  6. Step 6: Final answer
    x = 58,684.98

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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.