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Finding the Third Proportional to 14,838 and 23,001

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Solution

The third proportional to 14,838 and 23,001 is: 35,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 23,001 = 23,001 : x
  2. Step 2: Convert to fraction form
    14,838/23,001 = 23,001/x
  3. Step 3: Cross multiply
    14,838x = 23,001 × 23,001
  4. Step 4: Simplify right side
    14,838x = 529,046,001
  5. Step 5: Solve for x
    x = 529,046,001/14,838
  6. Step 6: Final answer
    x = 35,654.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.