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Finding the Third Proportional to 14,008 and 19,610

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Solution

The third proportional to 14,008 and 19,610 is: 27,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 19,610 = 19,610 : x
  2. Step 2: Convert to fraction form
    14,008/19,610 = 19,610/x
  3. Step 3: Cross multiply
    14,008x = 19,610 × 19,610
  4. Step 4: Simplify right side
    14,008x = 384,552,100
  5. Step 5: Solve for x
    x = 384,552,100/14,008
  6. Step 6: Final answer
    x = 27,452.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.