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Finding the Third Proportional to 13,916 and 23,106

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Solution

The third proportional to 13,916 and 23,106 is: 38,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916 : 23,106 = 23,106 : x
  2. Step 2: Convert to fraction form
    13,916/23,106 = 23,106/x
  3. Step 3: Cross multiply
    13,916x = 23,106 × 23,106
  4. Step 4: Simplify right side
    13,916x = 533,887,236
  5. Step 5: Solve for x
    x = 533,887,236/13,916
  6. Step 6: Final answer
    x = 38,364.99

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.