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Finding the Third Proportional to 5,133 and 12,369

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Solution

The third proportional to 5,133 and 12,369 is: 29,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133 : 12,369 = 12,369 : x
  2. Step 2: Convert to fraction form
    5,133/12,369 = 12,369/x
  3. Step 3: Cross multiply
    5,133x = 12,369 × 12,369
  4. Step 4: Simplify right side
    5,133x = 152,992,161
  5. Step 5: Solve for x
    x = 152,992,161/5,133
  6. Step 6: Final answer
    x = 29,805.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.