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Finding the Third Proportional to 14,838 and 23,865

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Solution

The third proportional to 14,838 and 23,865 is: 38,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 23,865 = 23,865 : x
  2. Step 2: Convert to fraction form
    14,838/23,865 = 23,865/x
  3. Step 3: Cross multiply
    14,838x = 23,865 × 23,865
  4. Step 4: Simplify right side
    14,838x = 569,538,225
  5. Step 5: Solve for x
    x = 569,538,225/14,838
  6. Step 6: Final answer
    x = 38,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.