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Finding the Third Proportional to 5,779.69 and 13,639.22

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Solution

The third proportional to 5,779.69 and 13,639.22 is: 32,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.69 : 13,639.22 = 13,639.22 : x
  2. Step 2: Convert to fraction form
    5,779.69/13,639.22 = 13,639.22/x
  3. Step 3: Cross multiply
    5,779.69x = 13,639.22 × 13,639.22
  4. Step 4: Simplify right side
    5,779.69x = 186,028,288.11
  5. Step 5: Solve for x
    x = 186,028,288.11/5,779.69
  6. Step 6: Final answer
    x = 32,186.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.