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Finding the Third Proportional to 13,739 and 18,663.50

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Solution

The third proportional to 13,739 and 18,663.50 is: 25,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739 : 18,663.50 = 18,663.50 : x
  2. Step 2: Convert to fraction form
    13,739/18,663.50 = 18,663.50/x
  3. Step 3: Cross multiply
    13,739x = 18,663.50 × 18,663.50
  4. Step 4: Simplify right side
    13,739x = 348,326,232.25
  5. Step 5: Solve for x
    x = 348,326,232.25/13,739
  6. Step 6: Final answer
    x = 25,353.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.