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Finding the Third Proportional to 13,040 and 18,687

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Solution

The third proportional to 13,040 and 18,687 is: 26,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040 : 18,687 = 18,687 : x
  2. Step 2: Convert to fraction form
    13,040/18,687 = 18,687/x
  3. Step 3: Cross multiply
    13,040x = 18,687 × 18,687
  4. Step 4: Simplify right side
    13,040x = 349,203,969
  5. Step 5: Solve for x
    x = 349,203,969/13,040
  6. Step 6: Final answer
    x = 26,779.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.