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Finding the Third Proportional to 8,430 and 12,903

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Solution

The third proportional to 8,430 and 12,903 is: 19,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,903 = 12,903 : x
  2. Step 2: Convert to fraction form
    8,430/12,903 = 12,903/x
  3. Step 3: Cross multiply
    8,430x = 12,903 × 12,903
  4. Step 4: Simplify right side
    8,430x = 166,487,409
  5. Step 5: Solve for x
    x = 166,487,409/8,430
  6. Step 6: Final answer
    x = 19,749.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.