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Finding the Third Proportional to 12,369 and 24,978

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Solution

The third proportional to 12,369 and 24,978 is: 50,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369 : 24,978 = 24,978 : x
  2. Step 2: Convert to fraction form
    12,369/24,978 = 24,978/x
  3. Step 3: Cross multiply
    12,369x = 24,978 × 24,978
  4. Step 4: Simplify right side
    12,369x = 623,900,484
  5. Step 5: Solve for x
    x = 623,900,484/12,369
  6. Step 6: Final answer
    x = 50,440.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.