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Finding the Third Proportional to 5,086 and 8,430

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Solution

The third proportional to 5,086 and 8,430 is: 13,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086 : 8,430 = 8,430 : x
  2. Step 2: Convert to fraction form
    5,086/8,430 = 8,430/x
  3. Step 3: Cross multiply
    5,086x = 8,430 × 8,430
  4. Step 4: Simplify right side
    5,086x = 71,064,900
  5. Step 5: Solve for x
    x = 71,064,900/5,086
  6. Step 6: Final answer
    x = 13,972.65

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.