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Finding the Third Proportional to 5,869.69 and 13,051.69

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Solution

The third proportional to 5,869.69 and 13,051.69 is: 29,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.69 : 13,051.69 = 13,051.69 : x
  2. Step 2: Convert to fraction form
    5,869.69/13,051.69 = 13,051.69/x
  3. Step 3: Cross multiply
    5,869.69x = 13,051.69 × 13,051.69
  4. Step 4: Simplify right side
    5,869.69x = 170,346,546.60
  5. Step 5: Solve for x
    x = 170,346,546.60/5,869.69
  6. Step 6: Final answer
    x = 29,021.40

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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.