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Finding the Third Proportional to 5,869 and 13,033

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Solution

The third proportional to 5,869 and 13,033 is: 28,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 13,033 = 13,033 : x
  2. Step 2: Convert to fraction form
    5,869/13,033 = 13,033/x
  3. Step 3: Cross multiply
    5,869x = 13,033 × 13,033
  4. Step 4: Simplify right side
    5,869x = 169,859,089
  5. Step 5: Solve for x
    x = 169,859,089/5,869
  6. Step 6: Final answer
    x = 28,941.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.