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Finding the Third Proportional to 13,153 and 18,501

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Solution

The third proportional to 13,153 and 18,501 is: 26,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 18,501 = 18,501 : x
  2. Step 2: Convert to fraction form
    13,153/18,501 = 18,501/x
  3. Step 3: Cross multiply
    13,153x = 18,501 × 18,501
  4. Step 4: Simplify right side
    13,153x = 342,287,001
  5. Step 5: Solve for x
    x = 342,287,001/13,153
  6. Step 6: Final answer
    x = 26,023.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.