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Finding the Third Proportional to 14,860 and 19,086

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Solution

The third proportional to 14,860 and 19,086 is: 24,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860 : 19,086 = 19,086 : x
  2. Step 2: Convert to fraction form
    14,860/19,086 = 19,086/x
  3. Step 3: Cross multiply
    14,860x = 19,086 × 19,086
  4. Step 4: Simplify right side
    14,860x = 364,275,396
  5. Step 5: Solve for x
    x = 364,275,396/14,860
  6. Step 6: Final answer
    x = 24,513.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.